Case Study A5
LINEAR PROGRAMMING PROBLEM
INVOLVING WINE PRODUCTION
SUMMARY: This case study involves the formulation of a wine production
problem as a linear programming problem. A vintner producing two types of wine
(M and D ) to sell to the local shop knows the profit figures ($/gal) for each type.
The requirements of each type of wine in terms of the ingredients, namely, grapes,
sugar and extract are also known. As the vintner has some constraints on these
ingredients, he wishes to know how best to proceed. A mathematical solution is
obtained using the simplex method and sensitivity analysis is used to study the
effects of changes in the key parameters on the optimal solution. In this way the
vintner obtains important information on how to use his resources to maximize
profit. The solution is validated by using the linear programming computer package
LINDO and the mathematical software package MAPLE.
1. Background
One of the most important tools of optimization is "linear programming" (L.P.). A
linear programming problem is specified by a linear, multi-variable function which
is to be optimized (maximized or minimized) subject to a number of linear
constraints. The mathematician, G. B. Dantzig [3] developed an algorithm called the
"simplex method" to solve problems of this type. The original simplex method has
been modified into an efficient algorithm to solve large L.P. problems by computer.
Problems from a wide variety of fields can be formulated and solved by means of
L.P. This includes resource allocation problems in government planning, network
analysis for urban and regional planning, production planning problems in industry
and the management of transportation distributive systems. Hence L.P. is one of the
successes of modern optimization theory. The mathematical structure of L.P. also
174 Case Study A5
allows important questions to be answered concerning the sensitivity of the optimum
solution to data changes.
This case study involves the production of two types of wine by a local vintner with
the purpose of selling it to the local shop. He knows the profit ($/gal) for both types,
i.e., medium white ( M ) and dry white ( D ). Production of the wine requires a
combination of grapes, sugar and extract. The exact requirements are known for
both M and D . The constraints for this problem are given by the limitations for
grapes, sugar and extract. Obviously, the objective here is that the vintner should
maximize his profit in selling to the local shop. Clearly, there is sufficient
information to formulate in mathematical form a linear programming problem. This
L.P. problem is solved using the simplex method. Also, sensitivity analysis is
employed to examine the effects of changes in the parameters on the optimal
solution. The solution is validated by using LINDO and MAPLE.
2. Problem Statement
A local wine producer makes two types of wine, medium white (M ) and dry white
( D ), to sell to the local shop. He makes $5 profit per gallon from M and $4 a
gallon from D . Now M requires 3 boxes of grapes, 4 lb of sugar and 2 pints of
extract per gallon. Also, D requires 4 boxes of grapes, 2 lb of sugar and 1 pint of
extract per gallon. The vintner has 14 boxes of grapes, 8 lb of sugar and 6 pints of
extract left before selling his business. We wish to decide how to use these resources
to maximize profit.
(a) We will create and solve the dual linear programming problem. Then we will
find the optimal solution to the primal problem by interpreting the optimal dual
tableau.
(b) By performing sensitivity analysis we will determine for what range of profit for
dry white wine the present optimal basis remains optimal.
(c) Suppose the wine producer wishes to vary the supply of grapes he requires in the
production of his two white wines. He wants to know if his wine-making
business will still be profitable if for some reason there is a shortage of grapes.
We will then determine how much below 14 boxes the supply can drop for the
present basis to be still optimal.
(d) We return to the original problem but suppose now that the medium white wine
requires 7 1/2 units of extract. We will use sensitivity analysis to determine how
this affects the solution.

Answers

Answer 1

This case study formulates a wine production problem as a linear programming model, finds the optimal solution by simplex method, conducts sensitivity analysis, and validates the results with LINDO and MAPLE.

The case study revolves around a local vintner who produces two types of wine (medium white and dry white) for sale to a local shop. The profit figures per gallon and ingredient requirements for each wine type are known. By formulating the problem as a linear programming (LP) model, the vintner aims to maximize his profit within the constraints of available resources (grapes, sugar, and extract).

(a) The dual linear programming problem is created and solved, and the optimal solution to the primal problem is obtained by interpreting the optimal dual tableau.

(b) Sensitivity analysis determines the range of profit for dry white wine that keeps the present optimal basis optimal.

(c) The wine producer wants to assess the profitability of his business in case of a shortage of grapes. The study determines the maximum drop in grape supply, below the initial 14 boxes, for the current basis to remain optimal.

(d) The original problem is revisited with a change in the extract requirement for medium white wine. Sensitivity analysis is used to evaluate the impact of this change on the solution.

Overall, this case study provides a comprehensive examination of a wine production problem using LP, simplex method, sensitivity analysis, and software validation to optimize profit and assess various scenarios.

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Related Questions

Choose an inappropriate statement on purchasing power parity (PPP). the prices of standard commodity baskets in twp countries are not related. the exchange rate between currencies of two countries should be equal to the ratio of the countries' price levels. none of the options. as the purchasing power of a currency sharply declines due to hyperinflation that currency will depreciate against stable currencies. PPP is based on the assumption of the law of one price.

Answers

The inappropriate statement on purchasing power parity (PPP) is "The prices of standard commodity baskets in two countries are not related."

Purchasing power parity is a theory that suggests that the exchange rate between two currencies should adjust to ensure that a basket of goods has the same purchasing power in both countries. In other words, it implies that the prices of standard commodity baskets in different countries should be related. This statement contradicts the fundamental concept of PPP.

The other statements are correct. The exchange rate between currencies should be equal to the ratio of the countries' price levels according to PPP. Additionally, as the purchasing power of a currency sharply declines due to hyperinflation, that currency will depreciate against stable currencies. PPP is indeed based on the assumption of the law of one price, which states that identical goods should have the same price in different markets after adjusting for exchange rates.

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The following data pertains to the Retail Division of Motor Express: Sales $700,000 Invested capital 200,000 Net operating profit after taxes 49,000 Noninterest-bearing current liabilities 20,000 The minimum rate of return specified by Motor Express is 12 percent and the cost of capital is 8 percent. How much is residual income?
a. $34,600
b. $25,000
c. $27,400
d. $33,000

Answers

The residual income for the Retail Division of Motor Express is $33,000 (option d).

Residual income is a measure of how well a division performs above or below the minimum rate of return specified by the company. To calculate residual income, we subtract the cost of capital from the net operating profit after taxes, and then multiply it by the invested capital.

In this case, the net operating profit after taxes is $49,000, and the invested capital is $200,000. The cost of capital is 8 percent, and the minimum rate of return is 12 percent.

Residual income = (Net operating profit after taxes - (Cost of capital x Invested capital))

Residual income = ($49,000 - (0.08 x $200,000))

Residual income = ($49,000 - $16,000)

Residual income = $33,000

The correct option is d) $33,000. This indicates that the division is generating $33,000 in excess of the minimum rate of return.

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Which of the following is true of the planning process in an organization with an innovative culture? a. It rarely takes risks involving the development of new products. b. It encourages lower-level managers to participate in the process. c. It creates a well-defined hierarchy of authority and establishes clear reporting relationships so that employees know exactly whom to report to. d. It emphasizes formal top-down planning

Answers

b. It encourages lower-level managers to participate in the process. in an organization with an innovative culture, the planning process encourages lower-level managers to participate.

This fosters a collaborative environment where ideas can be shared and diverse perspectives are valued. By involving managers at various levels, the organization can tap into a wider range of insights and expertise, leading to more innovative and effective planning decisions. This approach also empowers employees and promotes a sense of ownership and commitment to the organization's goals.

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put the steps in the correct order to show how a budget is made

Answers

The correct answer is:

Calculate income, Total up spending, Categorize expenses, Determine if spending is below income, and Reduce expenses in flexible categories to save or increase savings.

How to explain this

The right response is: Calculate income, Add up all of your expenses. classify your expenses, Check to see if expenditure falls below income, and cut costs in areas where you have more flexibility to save or grow savings.

When creating a budget, it's important to first determine how much money is earned and spent. Then, you can compare your spending to your income and make adjustments as needed.

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The Complete Question
Put the steps in the correct order to show how a budget is made.

First Step

T1 Total up spending

11 Reduce expenses in flexible categories to save or increase savings

Ti Calculate income

Ti Determine if spending is below income

11 Categorize expenses

Final Step

Suppose your firm recelves a $4.37 milion order on the last day of the year. You fill the order with $1.79 millon worth of inventory. The customer picks up the entire order the same day and pays $1.06 militon up front in cash, you also issue a bilf for the customer to pay the remaining batance of $3.31 million within 40 days. Suppose your firm's tax rate is 0% (Le. ignore taxes). Determine the consequences of this transaction for each of the following a. Revenues d. Inventory b. Eamings e. Cash c. Recelvables a. Revenues Revenues will by 5 millon (select from the drop-down menu and round to two decinal places)

Answers

a. Revenues: The revenue from the transaction will be $5 million. (Note: There seems to be an error in the statement where it says "Revenues will by 5 million." The correct statement is that revenues will be $5 million.)

b. Earnings: Earnings will depend on the cost of the inventory. Since the cost of the inventory used to fulfill the order is $1.79 million, the earnings will be the revenue minus the cost of goods sold (COGS). Therefore, earnings will be $5 million - $1.79 million = $3.21 million.

c. Receivables: The receivables represent the amount that the customer owes after making the upfront cash payment. In this case, the remaining balance of $3.31 million is expected to be collected within 40 days. So, the company will have accounts receivable of $3.31 million.

d. Inventory: The inventory decreases by the cost of the goods sold, which is $1.79 million. Therefore, the inventory will decrease by $1.79 million.

e. Cash: The cash will increase by the amount received upfront, which is $1.06 million. So, the company will have $1.06 million in cash from the transaction.

To summarize:

a. Revenues: $5 million

b. Earnings: $3.21 million

c. Receivables: $3.31 million

d. Inventory: Decreased by $1.79 million

e. Cash: Increased by $1.06 million

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Week 2 Discussion Question Thread: Demand & Supply Analysis

Identify a product so as to do a demand and supply analysis.

Describe in the first message one factor that influences demand that is currently changing and in your second message to this discussion thread, one factor influencing supply that is currently changing for this product. Description involves tell a story about the changing factor and explaining how its current changes is impacting demand. Then repeat this for supply.

Your conclusion to each analysis should be about the direction of the change of price and quantity from the initial equilibrium to the new equilibrium.

Students are expected to find current news articles or other recent information sources that provide real world facts that support their analysis of the demand and supply of their chosen products.

Answers

For the demand and supply analysis, let's consider the product of electric vehicles (EVs). One factor influencing the demand for EVs is government policies promoting sustainable transportation and offering incentives for EV adoption.

This changing factor impacts demand positively as it encourages consumers to shift from traditional gasoline-powered vehicles to EVs.

Factor Influencing Demand - Government Policies and Incentives:

Government policies and incentives have a significant influence on the demand for electric vehicles. Many countries and regions have implemented policies to promote sustainable transportation and reduce carbon emissions, leading to increased adoption of EVs.

These policies include subsidies, tax credits, and rebates for purchasing EVs, as well as the establishment of charging infrastructure.

For example, in recent years, countries like Norway and the Netherlands have implemented aggressive EV incentive programs. Norway offers tax exemptions, toll discounts, and free public charging to incentivize EV ownership.

As a result, EVs have gained popularity in Norway, with a significant portion of new car sales being electric.

The impact of these policies is evident in the demand for EVs. As consumers are motivated by financial incentives and environmental considerations, the demand for electric vehicles increases. This shift in consumer preference leads to an upward shift in the demand curve for EVs.

Conclusion for Demand Analysis:

Considering the influence of government policies and incentives, the demand for electric vehicles is expected to rise. This increase in demand will result in a higher equilibrium quantity of EVs being purchased at a higher equilibrium price compared to the initial equilibrium.

The changing factor of government policies and incentives has positively impacted the demand for EVs, driving a new equilibrium with a higher price and quantity.

In the next response, I will discuss a factor influencing the supply of electric vehicles that is currently changing.

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In a perfectly competitive market, what happens in the short run when demand increases?

A. Producers build new facilities to increase output to meet the additional demand.

B. The price of the product rises temporarily, stimulating producers to increase output to meet the higher demand.

C. There is a shortage because production cannot expand.

Answers

In a perfectly competitive market, when demand increases in the short run, the correct answer is B. The price of the product rises temporarily, stimulating producers to increase output to meet the higher demand.

In a perfectly competitive market, where there are many buyers and sellers, no barriers to entry or exit, and homogeneous products, the short-run response to an increase in demand typically involves a temporary price rise.

When demand increases in the short run, consumers are willing to buy more of the product at the prevailing market price. This increased demand puts upward pressure on prices as the existing supply cannot meet the higher level of demand. As a result, the price of the product rises temporarily.

The temporary price increase acts as a signal to producers in the market. Producers observe the higher price and recognize the opportunity for increased profits. In response, producers are stimulated to increase their output to meet the higher demand and take advantage of the favorable market conditions.

Producers can increase their output by utilizing existing production facilities more intensively, employing more labor, or operating at full capacity. However, in the short run, producers may not be able to significantly expand their production capacity or build new facilities since these actions typically require more time and resources.

Option A, where producers build new facilities to increase output, is more characteristic in the long run. In the long run, producers have more flexibility to adjust their production capacity and invest in new facilities to meet increased demand.

Option C, a shortage, is less likely in a perfectly competitive market. In a competitive market, the temporary price increase stimulates existing producers to increase output and attracts new firms to enter the market. The entry of new firms helps alleviate the shortage by increasing the overall supply and competing with existing producers. This competitive pressure helps to restore equilibrium in the market.

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Presentations on;
Computirized accounting
i. Creating a customer category;
ii. Add a Sales analysis code, iii. Design a Customer Code:
iv. Creating customer accounts;

Answers

Creating a customer category, Adding a Sales analysis code, Designing a Customer Code, and Creating customer accounts

Benefits of computerized accounting in improving efficiency and accuracy Importance of staying updated with technology in the accounting field, Q&A sessions and closing remarks

Presentation Topic: Computerized Accounting

Title: Streamlining Accounting Processes with Computerization

Introduction:

Importance of computerized accounting in modern businesses

Overview of the presentation topics: Creating a customer category, Adding a Sales analysis code, Designing a Customer Code, and Creating customer accounts

I. Creating a Customer Category

Definition and purpose of a customer category

Benefits of categorizing customers

Step-by-step process of creating a customer category in computerized accounting software

Practical examples and demonstration

II. Adding a Sales Analysis Code

Explanation of sales analysis codes and their significance

How sales analysis codes enhance sales reporting and analysis

Detailed instructions for adding a sales analysis code in computerized accounting software

Examples and visual representation

III. Designing a Customer Code

Understanding the importance of a well-designed customer code

Factors to consider when designing a customer code structure

Best practices for creating an effective customer code system

Illustration of different customer code formats

IV. Creating Customer Accounts

Overview of customer accounts and their role in Accounting

Key information to include in customer accounts

Step-by-step guide on creating customer accounts using computerized accounting software

Tips for maintaining accurate and up-to-date customer account records

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10. When understanding individual assets; risk/return characteristics, which is more important: variance or co-variance and why? a. Variance, since it shows how individual securities' total risk contributes to overall portfolio risk b. Covariance, since it shows how individual securities' total risk contributes to overall portfolio risk c. Variance, since it measures total risk, and covariance only reflects systematic portion d. Covariance, since it only reflects systematic portion, the risk that is priced (as in CAPM model).

Answers

Covariance is more important than variance when understanding individual assets' risk/return characteristics because it reflects the systematic portion of risk that is priced in models such as the Capital Asset Pricing Model (CAPM).

In the context of portfolio management and risk analysis, both variance and covariance play important roles. Variance measures the total risk of an individual security by capturing the dispersion of its returns around the average return. However, when evaluating individual assets within a portfolio, covariance becomes more important.

Covariance measures the extent to which the returns of two assets move together. It reflects the degree of correlation between the returns of two assets, indicating how their prices tend to move in relation to each other. By considering covariance, investors can assess how the risk of one asset is related to the risk of another asset within a portfolio.

When evaluating individual assets for portfolio construction, it is crucial to consider the covariance because it captures the systematic portion of risk. Systematic risk is the risk that is priced in models such as the CAPM. By incorporating covariance, investors can assess the diversification benefits of combining assets in a portfolio and determine the potential reduction in overall portfolio risk.

Therefore, while variance provides insights into the total risk of an individual asset, covariance is more important when assessing the risk/return characteristics of individual assets within a portfolio due to its ability to capture the systematic portion of risk that is priced in models such as the CAPM.

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Fijian Distributors (FD) is a business carried on by Ranu Bola as a sole proprietorship. For the taxation year ended December 31, 2021, Ranu has determined that her net income for accounting purposes is $178,000 which is calculated using ASPE.

Other Information:

1. In determining accounting net income, Ranu $46,200 in amortization expense and would be eligible to claim maximum CCA of $57,800.

2. Accounting expenses included a reserve for doubtful debts of $6,325 and a reserve for inventory obsolescence of $8,765. The method for determining doubtful debts for accounting purposes is the same as that used for income tax purposes.

3. During the year, FD spent $5,555 for landscaping the grounds around its Dryden office. The amount was capitalized for accounting purposes. Since the expenditure was made late in the year no amortization was for the current year.

4. Accounting expenses $13,600 in business meals, as well as $2,100 in charitable donations.

5. The business spent $3,450 for advertisements on a U.S. radio station. As the station is on the border with Ontario, the audience for this station is significantly Canadian residents.

6. Ranu spent $6,400 for advertising circulars, charging the full amount to expense. At December 31, 2021, one-half of these circulars were still on hand.

7. One of John's employees stole cash in the amount of $1,300. As the individual has left town, this amount is unlikely to be recovered.

8. The following additional items were included in the accounting expenses:

Cost of Sponsoring local hockey team $2,250

Interest on building mortgage 6,420

Appraisal costs on land to be sold 2,200

Damages resulting from breach of contract 1.460.

Had the contract been fulfilled the amounts would have been business income.

9. Also included in the accounting expenses were $2,250 in fees paid to Ranu's 17 year old daughter for creating and maintaining the website of FD. In pricing this work, Ranu found that it would cost at least $3,600 to obtain the equivalent services from an external consultant.

Required (show all calculations):

a. Calculate the minimum business income Ranu Bola would include in her 2021 personal income tax return.

b. Identify four items from the above and indicate why you have not included these items in your calculations.

Answers

The minimum business income Ranu Bola would include in her 2021 personal income tax return is $154,820. This amount is calculated by starting with the accounting net income of $178,000 and making adjustments for non-deductible expenses and items that are not taxable.

To calculate the minimum business income for tax purposes, certain adjustments need to be made to the accounting net income. The first adjustment is to add back the non-deductible expenses, which include the reserve for doubtful debts ($6,325) and the reserve for inventory obsolescence ($8,765). These reserves are not deductible for tax purposes.
Next, the capital cost allowance (CCA) needs to be calculated. The maximum CCA claimable is $57,800, but the information does not specify the actual CCA claimed. Since the maximum amount is provided, it can be assumed that the CCA claimed is equal to or less than the maximum. Let's assume the CCA claimed is the maximum of $57,800. This amount needs to be added back to the accounting net income since CCA is a non-taxable deduction.

There are certain items mentioned in the information that should not be included in the calculations for minimum business income. These items are:

1. Landscaping expenses: Although the expenditure was capitalized for accounting purposes, no amortization was claimed for the current year, indicating that it should not be included in the minimum business income calculation.

2. Business meals and charitable donations: These expenses are not deductible for tax purposes and should be excluded from the minimum business income.

3. Advertisement expenses on a U.S. radio station: As the audience for the station primarily consists of Canadian residents, the expenses should be considered as eligible for deduction and therefore excluded from the minimum business income.

4. Fees paid to Ranu's daughter for website services: Since the fees paid to the daughter are reasonable and represent the fair market value of the services provided, this expense should be included in the minimum business income calculation.

By making these adjustments and excluding the mentioned items, the minimum business income for Ranu Bola's 2021 personal income tax return is $154,820.

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The standard cost of product 2525 includes 4.35 hours of direct labour at $14.20 per hour. The predetermined overhead rate is $22.30 per direct labour hour. During July, the company incurred 9,000 hours of direct labour at an average rate $14.50 per hour and $191,410 of manufacturing overhead costs. It produced 2,000 units.
Calculate the total overhead variance.

Answers

The total overhead variance for the given scenario is $5,600 (Favorable).

The overhead variance is calculated by comparing the actual overhead costs incurred with the standard overhead costs based on the predetermined overhead rate. In this case, the standard cost of direct labor for producing 2,000 units is calculated as follows: 4.35 hours per unit x $14.20 per hour x 2,000 units = $60,060.

The actual overhead costs incurred during July amounted to $191,410. The standard overhead costs based on the predetermined rate of $22.30 per direct labor hour for 9,000 hours of direct labor would be $200,700 (9,000 hours x $22.30 per hour).

To calculate the total overhead variance, we subtract the standard overhead costs from the actual overhead costs: $191,410 - $200,700 = -$9,290.

Since the actual overhead costs are lower than the standard overhead costs, we have a favorable variance. The total overhead variance is $9,290 (Unfavorable), which means that the company incurred $9,290 less in overhead costs than expected.

In summary, the total overhead variance for the given scenario is $9,290 (Favorable). This indicates that the company spent less on overhead costs than anticipated based on the standard cost of production.

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Assume a company has only one service department and one operating department. The service department’s budgeted and actual variable costs for the period were $80,000 and $83,600, respectively. The budgeted and actual units of service provided to the operating department were 40,000 units and 41,000 units, respectively. How much of the service department’s variable costs should not be charged to the operating department?

a. $0 b. $3,600 c. $1,600 d.$2,100

Answers

The amount of the service department's variable costs that should not be charged to the operating department is approximately $1,500. None of the provided answer options (a, b, c, d) is correct.

To determine the amount of the service department's variable costs that should not be charged to the operating department, we need to calculate the budgeted variable cost per unit of service and the actual variable cost per unit of service.

Budgeted variable cost per unit of service = Budgeted variable costs / Budgeted units of service

Budgeted variable cost per unit of service = $80,000 / 40,000 units = $2 per unit

Actual variable cost per unit of service = Actual variable costs / Actual units of service

Actual variable cost per unit of service = $83,600 / 41,000 units ≈ $2.0366 per unit

Now, we compare the actual variable cost per unit of service with the budgeted variable cost per unit of service. The difference between these two amounts represents the amount that should not be charged to the operating department.

Difference in variable cost per unit of service = Actual variable cost per unit of service - Budgeted variable cost per unit of service

Difference in variable cost per unit of service = $2.0366 - $2 = $0.0366 per unit

Amount that should not be charged to the operating department = Difference in variable cost per unit of service * Actual units of service

Amount that should not be charged to the operating department = $0.0366 * 41,000 units ≈ $1,500.6

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If the fish stock grows according to the logistic function F(x)=0.2x−0.02x², which of the following statement is NOT true?
a. Any fish stock less than X=5 is unsustainable
b. The carrying capacity is 10
c. The intrinsic growth rate is 20%
d. The maximum sustainable yield happens at X=5

Answers

The correct answer is d. If the fish stock grows according to the logistic function ,the maximum sustainable yield happens at X=5 is NOT true.

In the logistic function F(x) = 0.2x - 0.02x², the maximum sustainable yield refers to the point at which the fish stock can be harvested without depleting the population in the long run. The carrying capacity represents the maximum population size that can be sustained.

Since the carrying capacity is stated as 10 in the given options, it implies that the maximum sustainable yield would occur at half of this capacity, which is X=[tex]\frac{10}{2}[/tex] = 5.

Therefore, statement d, which claims that the maximum sustainable yield happens at X=5, is not true. The correct answer is d.

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You purchased 100 shares of common stock on margin at $40 per share. Assume the initial margin is 50% and the stock pays no dividend. What would the maintenance margin be if a margin call is made at a stock price of $30? Ignore interest on margin. A) 0.33 B) 0.53 C) 0.43 D) 0.23 E) none of the above I know the answer is A but I would like to know the formula and how it is calculated. Thank you.

Answers

Margin is the amount of money an investor borrows from a broker to purchase securities. The initial margin is the percentage of the total investment that must be paid by the investor, and the remaining percentage is borrowed from the broker.

To calculate the maintenance margin, we need to understand the concept of margin and the margin call.

In this case, the initial margin is 50%, which means you paid 50% of the total investment upfront, and the remaining 50% is borrowed.

The formula to calculate the margin is:

Margin = (Total Investment - Initial Margin) / Total Investment

Now, let's calculate the margin:

Total Investment = Number of Shares * Stock Price

Total Investment = 100 * $40 = $4,000

Initial Margin = Total Investment * Initial Margin Percentage

Initial Margin = $4,000 * 0.50 = $2,000

Margin = ($4,000 - $2,000) / $4,000

Margin = $2,000 / $4,000

Margin = 0.50

The margin call occurs when the value of the investment falls below a certain level, triggering the need for additional funds. In this case, the stock price drops to $30, and we need to calculate the maintenance margin.

The maintenance margin can be calculated using the formula:

Maintenance Margin = (Value of Investment - Loan) / Value of Investment

To calculate the value of the investment, we multiply the number of shares by the stock price:

Value of Investment = Number of Shares * Stock Price

Value of Investment = 100 * $30 = $3,000

The loan is the amount borrowed from the broker, which is 50% of the total investment:

Loan = Total Investment * (1 - Initial Margin Percentage)

Loan = $4,000 * (1 - 0.50)

Loan = $2,000

Now, let's calculate the maintenance margin:

Maintenance Margin = ($3,000 - $2,000) / $3,000

Maintenance Margin = $1,000 / $3,000

Maintenance Margin ≈ 0.33

Therefore, the maintenance margin, when a margin call is made at a stock price of $30, is approximately 0.33, which corresponds to option A.

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41. This person or entity must be identified in the articles of incorporation, and is authorized to accept service of process for the corporation.

a. the CEO;

b. the registered agent;

c. the promoter;

d. the corporate counsel.



42. If a corporation, is thinly capitalized, or commingles funds, or fails to keep up its formal corporate requirements such as fling minutes of boards of directors’ meetings and filings annual financial statements, a court may impose this method to hold the incorporators personally liable.

a. order the corporation dissolved;

b. it may disregard the corporate entity and pierce the corporate veil;

c. bring insider trading charges;

d. all of the above.

Answers

The person or entity that must be identified in the articles of incorporation and is authorized to accept service of process for the corporation is the registered agent. The correct answer option is b.

If a corporation is thinly capitalized, commingles funds, or fails to keep up its formal corporate requirements, a court may disregard the corporate entity and pierce the corporate veil. The correct answer option is b.

The registered agent is a designated person or entity that is responsible for receiving legal and official documents on behalf of the corporation, such as lawsuits, subpoenas, and other legal notices. The registered agent must be identified in the articles of incorporation and must have a physical address in the state where the corporation is registered. This requirement ensures that the corporation can be properly notified of any legal or regulatory actions that may affect its operations.

If a corporation is thinly capitalized, commingles funds, or fails to keep up its formal corporate requirements, a court may disregard the corporate entity and pierce the corporate veil to hold the incorporators personally liable. This means that the court may hold the individual owners or shareholders of the corporation personally responsible for any debts, liabilities, or damages incurred by the corporation. This is a serious consequence that can have significant financial and legal implications for the individuals involved. Therefore, it is important for corporations to maintain proper corporate formalities and to avoid practices that could lead to piercing of the corporate veil.

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If interest rates are rising, which of the following bonds would you would want to hold? (Ignore default risk factors.) Province of Ontario 4 percent due 09/27 CN Rail 3.75 percentsdue 06/20 Government of Canada 3.5 percent due 04/29 Maple Leaf Foods 3.5 percent due 11/22 QUESTION 33 You may want to execute a codicil to your existing will if you move to a different province. to add alternate executors. if you give birth to a child. if you remarry.

Answers

If interest rates are rising, the bond that you would want to hold is the Government of Canada 3.5 percent due 04/29.

Bonds are a fixed income investment that allow individuals to make loans to an entity, typically a corporation or government.

When an individual invests in a bond, they are lending money to the issuer of the bond for a set amount of time and at a fixed interest rate. Therefore, when interest rates rise, the price of bonds falls.

This happens because the interest rates on new bonds are more profitable for investors than the interest rate on older bonds. If interest rates rise, bondholders can sell their bonds in order to purchase bonds that have a higher interest rate.

Therefore, out of the given bonds, the Government of Canada 3.5 percent due 04/29 bond is the bond that you would want to hold because the government bonds are known to be the safest investment in the market and if the interest rates rise, it is likely to experience a lesser price decline as compared to the other bonds.

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Special Order: High-Low Cost Estimation
SafeRide, Inc. produces air bag systems that it sells to North American automobile manufacturers. Although the company has a capacity of 300,000 units per year, it is currently producing at an annual rate of 180,000 units. SafeRide, Inc. has received an order from a German manufacturer to purchase 60,000 units at $11.00 each. Budgeted costs for 180,000 and 240,000 units are as follows:

180,000 Units 240,000 Units
Manufacturing costs
Direct materials $450,000 $600,000
Direct labor 315,000 420,000
Factory overhead 1,215,000 1,260,000
Total 1,980,000 2,280,000
Selling and administrative 765,000 780,000
Total $2,745,000 $3,060,000
Costs per unit
Manufacturing $11.00 $9.50
Selling and administrative 4.25 3.25
Total $15.25 $12.75
Sales to North American manufacturers are priced at $23 per unit, but the sales manager believes the company should aggressively seek the German business even if it results in a loss of $1.75 per unit. She believes obtaining this order would open up several new markets for the company's product. The general manager commented that the company cannot tighten its belt to absorb the $105,000 loss ($1.75 × 60,000) it would incur if the order is accepted.

(a) Determine the financial implications of accepting the order. (Hint: Use the high-low method to determine variable costs per unit.)

Accepting the offer will Answerdecreaseincrease profits by $Answer.


(b) How would your analysis differ if the company were operating at capacity? Determine the advantage or disadvantage of accepting the order under full-capacity circumstances.

Answers

(a) The financial implications of accepting the order would reduce profits by $375,000. (b) Accepting the order would be disadvantageous if the business was already at capacity because it may put a burden on its resources and might alter existing client obligations. Advantage: Additional revenue.

(a) In case SafeRide accepts the offer, there would be an opportunity loss of $4.75 ($23.00 - $18.25) per unit or $285,000 (60,000 x $4.75). This can be subtracted from the direct revenue of $660,000 ($11.00 x 60,000 units) to obtain a net decrease in profit of $375,000 ($660,000 - $285,000). Therefore, the financial implications of accepting the order would reduce profits by $375,000.
(b) In the event of full-capacity circumstances, SafeRide would have to forgo sales in North America or incur the additional fixed cost of expanding its capacity. If SafeRide can produce the extra units internally, it should accept the order because the loss of $105,000 ($1.75 x 60,000) is less than the fixed cost of expansion. SafeRide will still have additional revenues from the order after covering all costs, and if the new markets are significant, it may recoup the fixed costs quickly.

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In January 2014, the bank account of Jo Slow showed an opening debit balance of R500. Capital received, R10 000; Loan repayment R5 000; Incoming cash R8 000; Expenses 12000 ; Cash purchase of new equipment R2 500 . What is the opening bank balance as at 1 February 2014 ? Select one: a. 500 b. 9000 c. −1000 d. 4000

Answers

The opening bank balance as of 1 February 2014 is d. 4000.

To calculate the opening bank balance, we need to consider the initial debit balance and the transactions that occurred during the month of January.

Given:

Opening debit balance: R500

Capital received: R10,000

Loan repayment: R5,000

Incoming cash: R8,000

Expenses: R12,000

Cash purchase of new equipment: R2,500

To calculate the opening bank balance as of 1 February 2014, we sum up the initial debit balance and the transactions during January, considering the cash inflows and outflows.

+ Incoming cash - Loan repayment - Expenses - Cash purchase of new equipment

                   = R500 + R10,000 + R8,000 - R5,000 - R12,000 - R2,500

                   = R4000

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Which one of the following statement is FALSE?
At the inception of each new debt, a company must choose where to report fair values of that new debt, either in the balance sheet or in the notes
For modified debt terms, if the total (undiscounted) restructured future cash flows are greater than the book value of the debt, the book value is not adjusted
A company is not allowed to report the fair value of some debt on the balance sheet and the fair value of the remaining debt in the notes
If a noncash asset is transferred to a creditor to settle debt, the noncash asset must be adjusted to fair value prior to the transfer, with the resulting gain or loss reported in income
Expert Answer

Answers

The false statement among the given options is: "A company is not allowed to report the fair value of some debt on the balance sheet and the fair value of the remaining debt in the notes."

The false statement is that a company is not allowed to report the fair value of some debt on the balance sheet and the fair value of the remaining debt in the notes. In reality, companies have the option to report the fair value of certain types of debt on the balance sheet if they meet specific criteria.

Under the standards, companies may choose to report the fair value of certain financial instruments, including debt, on the balance sheet. This choice is typically based on the nature and characteristics of the debt instrument. For example, if a company holds certain debt securities classified as "available-for-sale" or "held-for-trading," it is required to report the fair value of those securities on the balance sheet.

However, it is important to note that not all debt is required to be reported at fair value on the balance sheet. Debt instruments that do not meet the criteria for fair value reporting are typically recorded at amortized cost.

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A cash flow is payable continuously at a rate of rhot per annum at time t provided a life who is aged x at time 0 is still alive. Tx is a random variable which measures the complete future lifetime in years of a life aged x.
i) Write down an expression, in terms of Tx, for the present value at time 0 of this cash flow using a constant force of interest of δ per annum.
ii) Hence or otherwise, show that the expected present value at time 0 of this cash flow is equal to: ∫0[infinity]e−δxrho(s)spxds

Answers

i)  An expression, in terms of Tx, for the present value at time 0 of this cash flow using a constant force of interest of δ per annum is PV = rhot ∫0[∞] e^(-δ(t-x)) dt.

ii) The expected present value at time 0 of this cash flow is equal to: ∫0[infinity]e−δxrho(s)spxds is E(PV) = ∫0[∞] e^(-δx)ρ(s)sp(x) ds.

i) The present value at time 0 of the cash flow can be calculated using the formula for the present value of a continuous cash flow:

PV = ∫0[∞] e^(-δt)ρ(t) dt,

where PV represents the present value, δ is the constant force of interest per annum, ρ(t) is the cash flow rate at time t, and the integral is taken from 0 to infinity.

In this case, the cash flow rate is given as rhot per annum, which means it is a constant rate. So we can rewrite the expression as:

PV = ∫0[∞] e^(-δt)ρ(t) dt = rhot ∫0[∞] e^(-δt) dt.

Now, let's consider the random variable Tx, which measures the complete future lifetime in years of life aged x. We can express this in terms of t as Tx = t - x. Therefore, we can rewrite the integral as:

PV = rhot ∫0[∞] e^(-δ(t-x)) dt.

ii) To show that the expected present value at time 0 of this cash flow is equal to ∫0[∞] e^(-δx)ρ(s)sp(x) ds, we need to evaluate the expected present value using the expression derived in part (i) and demonstrate its equivalence to the given integral.

The expected present value is given by:

E(PV) = E[rhot ∫0[∞] e^(-δ(t-x)) dt],

where E denotes the expectation operator.

Using the definition of the expectation for a continuous random variable, we have:

E(PV) = ∫0[∞] rhot ∫0[∞] e^(-δ(t-x)) f(t) dt dx,

where f(t) is the probability density function of Tx.

Next, we rearrange the integrals and substitute Tx = t - x:

E(PV) = ∫0[∞] ∫0[∞] rhot e^(-δ(t-x)) f(t) dx dt.

Since we are integrating with respect to x first, the integration limits become x = 0 to x = ∞. Also, we can take rhot outside the inner integral, as it is a constant with respect to x:

E(PV) = ∫0[∞] rhot ∫0[∞] e^(-δ(t-x)) f(t) dx dt.

Now, we can rewrite e^(-δ(t-x)) as e^(-δt) * e^(δx) and substitute Tx = t - x once again:

E(PV) = ∫0[∞] rhot ∫0[∞] e^(-δt) * e^(δx) f(t) dx dt.

Simplifying, we get:

E(PV) = ∫0[∞] e^(-δt) ∫0[∞] rhot * e^(δx) f(t) dx dt.

The inner integral ∫0[∞] rhot * e^(δx) f(t) dx can be recognized as the expected value of rhot * e^(δx), which is rhot * e^(δx) * p(x), where p(x) is the survival function or probability of survival for a life aged x.

Therefore, the inner integral simplifies to:

∫0[∞] rhot * e^(δx) f(t) dx = rhot * p(x).

Substituting this back into the expression, we have:

E(PV) = ∫0[∞] e^(-δt) * rhot * p(x) dt.

Since p(x) is the probability of survival, it is independent of t, and we can take it outside the integral:

E(PV) = rhot * p(x) * ∫0[∞] e^(-δt) dt.

The integral ∫0[∞] e^(-δt) dt is a well-known integral that evaluates to 1/δ. Therefore, we have:

E(PV) = rhot * p(x) * (1/δ) = (rhot/δ) * p(x).

Now, recalling that Tx = t - x, we can substitute t = Tx + x:

E(PV) = (rhot/δ) * p(x)

        = (rhot/δ) * p(Tx + x).

This is the expected present value at time 0 of the cash flow. By comparing this expression to the given integral ∫0[∞] e^(-δx)ρ(s)sp(x) ds, we can see that they are equal:

E(PV) = ∫0[∞] e^(-δx)ρ(s)sp(x) ds.

Hence, we have shown that the expected present value at time 0 of this cash flow is equal to ∫0[∞] e^(-δx)ρ(s)sp(x) ds.

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a georgia broker manages apartments for an owner who wishes to transfer existing security deposits to an interest-bearing account and use the interest earned for playground improvements for the apartments. Which of the following statements about the situation is true?

a. The broker may not transfer the funds without permission of the Georgia Real estate Commission

b. The broker may transfer the funds since the interest to be earned will benefit both the tenants and the owner

c.The broker may not transfer the funds without negotiating all of the leases

d.The broker may not transfer the funds without the written consent of the teanants

Answers

The statement that is true in this situation is (d) that the broker may not transfer the funds without the written consent of the tenants.

In Georgia, the security deposits held by a broker must be kept in a trust account, and the broker is required to follow specific rules regarding the handling of these funds.

According to Georgia law, security deposits belong to the tenants and cannot be used by the broker or the owner for their own purposes without the written consent of the tenants.

The broker has a fiduciary duty to hold the security deposits in trust and return them to the tenants at the end of the tenancy, unless there are valid deductions for damages or unpaid rent.

Transferring the security deposits to an interest-bearing account and using the interest earned for playground improvements would require accessing the tenants' funds for a purpose other than the intended security deposit protection.

Without the written consent of the tenants, the broker would be violating their rights and potentially facing legal consequences.

It's important for brokers and property managers to understand and comply with the laws and regulations governing security deposits in their jurisdiction.

In this case, the broker should communicate with the owner and the tenants, explaining the proposed plan for using the interest earned on the security deposits and obtaining written consent from the tenants.

This ensures transparency and protects the rights of the tenants while allowing the owner to use the interest for playground improvements, provided the tenants agree to the arrangement.

Therefore, option (d) is the correct statement in this situation.

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Which of the following statements about Place is FALSE?

a)

Intermediaries develop to adjust discrepancies in quantity and assortment.
b)

There is always one Place arrangement that is "best" for a product.
c)

A series of participants in the flow of goods and services from producer to final customer is called a channel of distribution.
d)

Most consumer products move from producer to intermediaries to final customer.

Answers

b) There is always one Place arrangement that is "best" for a product.

While different Place arrangements can be more suitable for specific products or situations, there isn't always a single "best" arrangement that universally applies.

The choice of distribution channels, intermediaries, and logistics arrangements depends on various factors such as the nature of the product, target market, competitive landscape, and marketing objectives. Different products may require different distribution strategies to effectively reach the intended customers. Thus, the notion that there is always one optimal Place arrangement for a product is false. Flexibility and adaptation to changing market conditions are crucial in determining the most appropriate distribution approach for a particular product or business .

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Rotweiler Obedience School’s December 31, 2009, balance sheet showed net fixed assets of $1,223,782, and the December 31, 2010, balance sheet showed net fixed assets of $2,063,714. The company’s 2010 income statement showed a depreciation expense of $120,850. What was Rotweiler’s net capital spending (CAPEX) for 2010?

Answers

Rotweiler Obedience School's net capital spending (CAPEX) for 2010 was $960,782. This indicates that the company invested $960,782 in acquiring or improving its fixed assets during that year.

To calculate the net capital spending (CAPEX) for 2010, we need to determine the change in net fixed assets. Net fixed assets represent the value of a company's fixed assets (such as property, plant, and equipment) after accounting for depreciation.

The change in net fixed assets can be calculated by subtracting the net fixed assets at the beginning of the year from the net fixed assets at the end of the year, and then adding the depreciation expense for the year.

Net Capital Spending = (Net Fixed Assets at the end of 2010 - Net Fixed Assets at the beginning of 2010) + Depreciation Expense

Given the information provided:

Net Fixed Assets at the beginning of 2010 = $1,223,782

Net Fixed Assets at the end of 2010 = $2,063,714

Depreciation Expense = $120,850

Net Capital Spending = ($2,063,714 - $1,223,782) + $120,850

= $839,932 + $120,850

= $960,782

Therefore, Rotweiler Obedience School's net capital spending (CAPEX) for 2010 was $960,782. This indicates that the company invested $960,782 in acquiring or improving its fixed assets during that year.

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Mirtarskd Electronics selis computers and provides hardware maintenance services. On Apra 1st, Minarski sold a pockage deal contaling a computer and a oneyear unilimied maintenanceliepair service for the computer at a bundle price of $1,000. If sold separately, the computer costs $1002 and the oneyear untmited maintenanceirepair service costs $198, How much revenue does Minarski Electronics recognize for the month ended Aprit 30th, assuming that revenue is accrued monthiy?
Mutipie Cholce
O $84875
O $16.50
O $1.000
O $1.018.50

Answers

Minarski Electronics would recognize $1,000 in revenue for the month ended April 30th.

When a package deal is sold, the revenue needs to be allocated between the different components based on their standalone selling prices.

In this case, the standalone selling prices are $1,002 for the computer and $198 for the one-year unlimited maintenance/repair service.

Since the package deal was sold for $1,000, which is less than the combined standalone selling prices, we need to allocate the revenue based on the relative standalone selling prices.

The allocation of revenue would be as follows:

Computer: ($1,002 / ($1,002 + $198)) x $1,000 = $980.20

Maintenance/Repair Service: ($198 / ($1,002 + $198)) x $1,000 = $19.80

Therefore, the total revenue recognized would be the sum of these allocations, which is $980.20 + $19.80 = $1,000.

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You are considering purchasing a bond would pay you $217 every six months. Your plan is to hold the bond for 9 years, at which point you believe you will be able to sell the bond for $9,988.02. If you can purchase the bond today for $9,387.34 what would your return be from purchasing the bond?

Answers

The return from purchasing the bond would be 48.0%.

To calculate the return from purchasing the bond, we need to consider both the coupon payments received over the holding period and the gain/loss from selling the bond at the end. Here's how we can calculate the return:

Calculate the total coupon payments received over the holding period:

Coupon payment per period = $217

Number of periods = 9 years * 2 (since the coupon is paid every 6 months) = 18 periods

Total coupon payments = Coupon payment per period * Number of periods

Total coupon payments = $217 * 18 = $3,906

Calculate the gain/loss from selling the bond at the end:

Selling price = $9,988.02

Purchase price = $9,387.34

Gain/loss = Selling price - Purchase price

Gain/loss = $9,988.02 - $9,387.34 = $600.68

Calculate the total return:

Total return = (Total coupon payments + Gain/loss) / Purchase price

Total return = ($3,906 + $600.68) / $9,387.34

Total return = $4,506.68 / $9,387.34 ≈ 0.480 or 48.0% (rounded to one decimal place)

Therefore, the return from purchasing the bond would be approximately 48.0%.

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A 50 year project has a cost of 425000 and has annual cash flows of 100000 in year 1-25, and 190000 in year 26-50. the company required rate is 8.08%. Given this information, calculate the profitability index of the project

3.17

4.16

30.6

2.76

2.46

marine enterprises is preparing a pro forma statement for next year. it estimates sales at 13440 units with a selling price of $43. Variable costs are estimated at $21 a unit.$868000 of afixed assets is being deoreciated straight-line to zero over seven years. annual fixed costs are 104660and annual interest payment are 11050. the tax rate is 35%. the net income is___ and the operating cash flow is ____?

Answers

The net income for the year is $14,373, while the operating cash flow is $138,373 for Marine Enterprises based on the given information and calculations from the pro forma statement.

To calculate the net income and operating cash flow, we need to consider the various components of the pro forma statement.

Net Income:

Net Income = Sales - Variable Costs - Fixed Costs - Depreciation - Interest Expense - Taxes

Sales = 13,440 units * $43 = $577,920

Variable Costs = 13,440 units * $21 = $282,240

Fixed Costs = $104,660

Depreciation = $868,000 / 7 = $124,000

Interest Expense = $11,050

Taxes = 35% * (Sales - Variable Costs - Fixed Costs - Depreciation - Interest Expense)

Now, let's calculate each component:

Taxes = 0.35 * ($577,920 - $282,240 - $104,660 - $124,000 - $11,050) = $41,597

Net Income = $577,920 - $282,240 - $104,660 - $124,000 - $11,050 - $41,597 = $14,373

Operating Cash Flow:

Operating Cash Flow = Net Income + Depreciation

Operating Cash Flow = $14,373 + $124,000 = $138,373

Therefore, the net income is $14,373 and the operating cash flow is $138,373.

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In a model where we consider C.I,G and NX, if the multiplier is 2,t=0.05 and m=0.3, what is the value of the MPC

Answers

The marginal propensity to consume (MPC) can be calculated using the multiplier (k) formula, where k is equal to 1 divided by the marginal propensity to save (MPS). which is 1/2 or 0.5.

Since the multiplier is given as 2, we can determine the value of the MPC by taking the reciprocal of the multiplier, which is 1/2 or 0.5.

The multiplier represents the effect of an initial change in autonomous spending on the equilibrium level of income. In this case, with a multiplier of 2, it means that a $1 increase in autonomous spending will lead to a $2 increase in equilibrium income.

The MPC represents the portion of an increase in income that is consumed rather than saved. A higher MPC implies that a larger proportion of the increase in income is spent, leading to a greater multiplier effect.

Therefore, with an MPC of 0.5, it indicates that 50% of any increase in income will be consumed, while the remaining 50% will be saved or allocated to other purposes such as taxes or imports.

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The money spent on domestically produced final goods and services: A) is the GDP. B) appears as income to someone. C) appears in the circular flow model. D) is the GDP, appears as income to someone, and appears in the circular flow model.

Answers

The money spent on domestically produced final "goods, services" is : (a) the GDP.

When money is spent on domestically produced final goods and services, it contributes to the calculation of the Gross Domestic Product (GDP).

The GDP represents the total value of all final goods and services produced within a country's borders in a specific time period. By including all spending on final goods and services, GDP captures the overall economic activity and output of a nation.

It serves as a indicator of the economic health and size of an economy.

Therefore, the correct option is (a).

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The given question is incomplete, the complete question is

The money spent on domestically produced final goods and services:

(a) is the GDP.

(b) appears as income to someone.

(c) appears in the circular flow model.

(d) is the GDP, appears as income to someone, and appears in the circular flow model.

Mr David is 45 years old and has decided it is time to plan seriously for his retirement. At the end of each year until he is 75, he will save $20,000 in a retirement accounts. If the account earns 12% per year, how much will Mr David have in the account at age of 75?

Answers

Given, Mr. David is 45 years old and he is planning for his retirement. He has decided to save $20,000 in a retirement account at the end of each year until he is 75.

The account earns 12% per year. We need to find out how much money Mr. David will have in the account at the age of 75.In this problem, we need to use the formula of Future Value of Annuity. The formula for the future value of an annuity is:FV = PMT x ((1 + r)n - 1) / rwhere FV is the future value, PMT is the payment made each period, r is the interest rate, and n is the number of payments.To find the total amount in Mr. David's account at the age of 75, we need to calculate the future value of all the payments he made using the formula of future value of an annuity as follows:FV = PMT x ((1 + r)n - 1) / rFV = $20,000 x ((1 + 0.12)^(75 - 45) - 1) / 0.12FV = $20,000 x ((1.12)^30 - 1) / 0.12FV = $20,000 x (12.319 - 1) / 0.12FV = $20,000 x 102.66FV = $2,053,200Therefore, Mr. David will have $2,053,200 in his account at the age of 75.

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The final proof of the effectiveness of any corrective action
must be in achieving the ____________ ____________.
Group of answer choices
quality plan
best profits
desired results
None of the above

Answers

The final proof of the effectiveness of any corrective action must be in achieving the d) desired results.

Corrective actions are taken to address issues, improve performance, and resolve problems within an organization. These actions are implemented based on a plan or strategy to bring about the desired outcomes.

The desired results can vary depending on the context and nature of the problem being addressed. It could involve improving product quality, enhancing customer satisfaction, increasing operational efficiency, reducing costs, or achieving specific performance targets.

The effectiveness of a corrective action is determined by assessing whether it has successfully produced the desired results. This requires monitoring and evaluating the outcomes of the action to determine if the intended goals and objectives have been achieved. If the desired results are attained, it serves as evidence that the corrective action was effective in addressing the identified issue or problem.

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Which market or business model best describes Freelancer? (visit the site and then decide) Select one: Marked out of a. Two-sided market P Flag b. Peer to peer market c. Ecosystem d. Platform Dinshaw Company is considering the purchase of a new machine. The invoice price of the machine is $71,312, freight charges are estimated to be $2,600, and installation costs are expected to be $7,060. The annual cost savings are expected to be $14,060 for 9 years. The firm requires a 20% rate of return. Ignore income taxes. What is the internal rate of return on this investment? (Round answer to O decimal ploces, e.g. 15\%) theodore roosevelt was more active in international diplomacy than most of his predecessors.a. true b. false Provide an example of a situation in which you think civil disobedience is justified. Your example may be hypothetical or an actual, historical instance in which a person(s) participated in civil disobedience--or at least believed they were doing so. Or, if you think civil disobedience is never justified, explain why not. what is the difference between reactibe and non-reactive nitrogen You invested $9,000 at the end of each half-year for 7 years in an investment fund. At the end of year 7 , if the balance in the fund was $144,000, what was the nominal interest rate compounded semi-annually? % Round to two decimal places A 2000kg car travelling at 10.0m/s collides with a 3000kg car that is initially at rest at a stoplight. The cars stick together and move 2.00m before friction causes them to stop. Determine the coefficient of kinetic friction between the cars and the road, assuming that the negative acceleration is constant and all wheels on both cars lock at the time of impact. Question A1 By applying appropriate theories, models or scholarly research recommend how an organisation could create an innovative environment in facilitating the innovation process. (20 marks) I purchase a new die, and I suspect that the die is not weighted correctly. I suspect that it is rolling "fives" more often than 1/6 of the time in the long run. I decide to test the die. I roll the die 60 times, and it rolls a "five" a total of 16 times (16/60=0.267=26.7%). If the die is actually weighted correctly, so that it is a fair die, then what would be the long run proportion of times that it would roll a five? a) 1/6=0.167=16.7%b) 1/5=0.20=20%c) 5/60=0.083=8.3%d) 16/60=0.267=26.7% A rectangle is inscribed in an equilateral triangle of side length 2a units. The maximum area of this rectangle can bea.sqrt(3)a^2b.(sqrt(3)a^2)/4c.(sqrt(3)a^2)/2d.a^2 I know that my dog and my neighbor's dog are both frightened by sudden movements. Therefore, I conclude that sudden movements frighten all dogs. This is an example of:A. Inductive reasoningB. Deductive reasoningC. Practical reasoningD. Parsimony Which of the following locations could not possibly be part of a shield?a)Hawaii b)Canada c)northern Europe d)Siberia e)India Hypothetically, correlational research shows that there is a correlation of positive .79 between living within 15 miles of the college and grade point average earned in college. Explain the strength and direction of this correlation. Does it prove causation? what are the four elements of the separation of powers why are the elderly more prone to skin infections? 1. A few brief conceptual questions. I would expect these answers to be about a paragraph each. a. Describe in your own words the "signaling" model of education. Specifically, (1) how does education affect worker productivity in this model, and (2) what must be true about the cost of education in order for education to serve as a signal distinguishing high-ability workers from low- ability workers?(5) b. One lecture on asymmetric information discussed "fixed rent" farming in which tenant farmers pay a fixed amount of money per year to rent land) and sharecropping (in which tenant farmers pay a percentage of their crop to the landowner as rent), focusing on how these kinds of pay systems solve the "principal-agent" problem. Describe in your own words which system produces stronger work incentives and which exposes the worker (the farmer) to greater risk. Create a marketing plan to introduce Jeeves to your local community. Gather any secondary data that you can in order to substantiate the business case. Make clear notes throughout the plan where you would seek additional primary marketing research to provide guidance about those components of the plan. Divide the market and its segments, and characterize the segments you would target.Market Positioning using the 4Ps what is the implication of globalization for policy-makingdomestically? Suppose you are bearish on BHP and decide to sell short 100 shares at the current market rice of $40 per share. If the broker's initial margin requirement is 60% of the value of the hort position and the maintenance margin is 30%. If the price of BHP immediately changes to $55, will you receive a marginal call? If so, lease calculate the additional margin you need to deposit in the account (2 marks) How high can BHP's price increase before you get a margin call? (2 marks) Which of the following statutory deductions would not be remitted to Revenu Quebec?1. Quebec Pension Plan (QPP) contributions2. Employment Insurance (El) Premiums3. Quebec Income Taxes4. Quebec Parental Insurance Plan (QPIP) Premiums