Suppose Country A relies on exports of two primary products, sugar cane and rubber.
According to the predictions of Engel’s law, what will happen to the terms of trade of Country A in the long run? Is the predicted outcome on the terms of trade the same at all times? (Justify your conclusion).
If you are to provide economic policy advice to this nation’s government, what advice would you give? In your answer, be sure to explain the reasons behind your advice.

Answers

Answer 1

According to Engel's law, the terms of trade of Country A in the long run would depend on the relative changes in the prices of its primary export products, sugar cane and rubber, compared to the prices of its imports.

If the prices of sugar cane and rubber increase relative to the prices of Country A's imports, then the terms of trade would improve for Country A. This means that Country A would be able to purchase a greater quantity of imports for a given quantity of its exports, resulting in a favorable trade balance.

On the other hand, if the prices of sugar cane and rubber decrease relative to the prices of Country A's imports, then the terms of trade would deteriorate. In this scenario, Country A would need to export a larger quantity of its primary products to maintain the same level of imports, which could lead to a trade deficit.

It's important to note that the predicted outcome on the terms of trade is not the same at all times. The terms of trade can fluctuate over time due to various factors, including changes in global supply and demand conditions, shifts in exchange rates, trade policies of other countries, and technological advancements, among others. These factors can influence the relative prices of exports and imports and subsequently affect the terms of trade.

Now, for providing economic policy advice to Country A's government, it's important to consider several factors:

Diversification of exports: Country A's heavy reliance on only two primary products, sugar cane and rubber, makes it vulnerable to price fluctuations in these commodities. Therefore, diversifying its export base by promoting other industries and products would be advisable. This diversification would reduce the country's exposure to price volatility in specific commodities and enhance its resilience to external shocks.

Value-added production: Rather than exporting raw sugar cane and rubber, Country A could focus on adding value to its exports by investing in processing industries. For example, it could establish sugar refineries or rubber manufacturing facilities, which would increase the value of its exports and potentially lead to higher export prices. This strategy would help improve the terms of trade by reducing the dependence on low-value raw materials.

Enhancing productivity and competitiveness: Country A should prioritize policies aimed at improving productivity and competitiveness in its export sectors. This can be achieved through investments in research and development, infrastructure development, education and skill development, and fostering an enabling business environment. Increased productivity and competitiveness would allow Country A to produce and export goods at lower costs, thereby positively impacting its terms of trade.

Trade diversification: Country A should explore opportunities to diversify its trading partners. Relying heavily on a limited number of trading partners increases the vulnerability to changes in their economic conditions and policies. Seeking new markets and strengthening trade relations with different regions and countries would reduce dependence on a single market and provide greater stability in trade.

Monitoring global market trends: Country A should closely monitor global market trends and adapt its export strategy accordingly. By staying informed about changes in global demand, emerging market opportunities, and potential disruptions, the government can make informed decisions to maximize the benefits from its exports.

By implementing these policies, Country A can reduce its vulnerability to commodity price fluctuations, improve its terms of trade, and promote sustainable economic growth. However, it's important to note that each country's situation is unique, and policymakers should consider the specific context and dynamics of Country A when formulating economic policies.

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Related Questions

Bonita Manufacturing Company uses a standard cost accounting system. In 2022, 27,000 units were produced. Each unit took several kilograms of direct materials and 1.6 standard hours of direct labour at a standard hourly rate of $15.00. Normal capacity was 49,600 direct labour hours. During the year, 113,400 kg of raw materials were purchased at $0.92 per kilogram. All materials purchased were used during the year. If the materials price variance was $9.072 favourable, what was the standard materials price per kilogram? (Round answer to 2 decimal places, eg. 5.25.) Standard price per kilogram $ If the materials quantity variance was $5,400 unfavourable, what was the standard materials quantity per unit? (Round answer to 2 decimal places, e.g. 5.17.) Standard materials quantity per unit What were the standard hours allowed for the units produced? Standard hours allowed kilograms If the labour quantity variance was $10,950 unfavourable, what were the actual direct labour hours worked? Actual direct labour hours

Answers

The actual direct labor hours worked are 43,930 hours.

To find the standard materials price per kilogram, we can use the formula:

Standard Materials Price = (Total Materials Purchased - Materials Price Variance) / Total Kilograms Purchased

Given that the materials price variance is $9.072 favorable and the total kilograms purchased is 113,400 kg, we can calculate the standard materials price per kilogram as follows:

Standard Materials Price = (113,400 kg - $9.072) / 113,400 kg

Standard Materials Price = $113,390.928 / 113,400 kg

Standard Materials Price ≈ $0.9996 per kilogram

Therefore, the standard materials price per kilogram is approximately $0.9996.

To find the standard materials quantity per unit, we can use the formula:

Standard Materials Quantity = Total Kilograms Purchased / Total Units Produced

Given that the total kilograms purchased is 113,400 kg and the total units produced are 27,000 units, we can calculate the standard materials quantity per unit as follows:

Standard Materials Quantity = 113,400 kg / 27,000 units

Standard Materials Quantity ≈ 4.2 kg per unit

Therefore, the standard materials quantity per unit is approximately 4.2 kg.

To find the standard hours allowed for the units produced, we can use the formula:

Standard Hours Allowed = Total Units Produced * Standard Hours per Unit

Given that the total units produced are 27,000 units and the standard hours per unit is 1.6 hours, we can calculate the standard hours allowed as follows:

Standard Hours Allowed = 27,000 units * 1.6 hours

Standard Hours Allowed = 43,200 hours

Therefore, the standard hours allowed for the units produced are 43,200 hours.

To find the actual direct labor hours worked, we can use the labor quantity variance formula:

Labor Quantity Variance = (Actual Hours - Standard Hours Allowed) * Standard Rate

Given that the labor quantity variance is $10,950 unfavorable, and the standard rate is $15.00 per hour, we can rearrange the formula to solve for the actual direct labor hours:

Actual Hours = (Labor Quantity Variance / Standard Rate) + Standard Hours Allowed

Actual Hours = ($10,950 / $15.00) + 43,200 hours

Actual Hours = 730 + 43,200 hours

Actual Hours = 43,930 hours

Therefore, the actual direct labor hours worked are 43,930 hours.

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The standard deviation of stock X is 16% and stock Y is 17%. The correlation between the two stocks is 0.45. Calculate the optimal investment proportion of stock Y that will produce the lowest portfolio risk.
a. 12.24%
b. 55.45%
c. 44.50%
d. 81.92%
e. 49.80%

Answers

The optimal  investment proportion of stock Y that will produce the lowest portfolio risk is given as c. 44.50%

How to solve for the optimal  investment proportion

Let's solve the problem by inserting the provided values into the formula.

w(Y) = [σ²(X) - ρσ(X)σ(Y)] / [σ²(X) + σ²(Y) - 2ρσ(X)σ(Y)]

Substituting the given values:

w(Y) = [0.16² - 0.45 * 0.16 * 0.17] / [0.16² + 0.17² - 2 * 0.45 * 0.16 * 0.17]

w(Y) = [0.0256 - 0.01224] / [0.0256 + 0.0289 - 2 * 0.01224]

w(Y) = [0.01336] / [0.03002]

w(Y) = 0.4450

Therefore, the optimal investment proportion of stock Y that will produce the lowest portfolio risk is approximately 44.5%.

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Which of the following groups is among the internal stakeholders of Sara Lee? A) Suppliers B) Strategic alliances C) Customers D) Bankers OE) Employees 5

Answers

Among the given options, the group that is among the internal stakeholders of Sara Lee is Employees.

Internal stakeholders are individuals or groups that are affected by the operations of a business, including owners, employees, and managers.

They play a significant role in the functioning of the company because they are directly involved in the daily operations of the company.

Internal stakeholders are those people or groups within a company that are involved in the day-to-day operations of a business.

They are an integral part of the business and are essential to the success of the company.

Employees are a critical internal stakeholder group.

They are responsible for the company's day-to-day operations, and their work is essential to the company's success.

Sara Lee is an American consumer goods company.

Employees are one of the primary internal stakeholders of Sara Lee. The company's success depends on the efforts of its employees.

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Which of the following statements is NOT true regarding the development of a reward system?

Select one:

a. The key benefit of a profit-sharing plan is to encourage employees to think like owners.

b. The key benefit of an individual-based incentive system is to highlight improved expectancy and instrumentality.

c. The key benefit of gain-sharing plan is to introduce equity, ensuring the employees who contribute to the business can get a share of the gains.

d. The key benefit of an employee share plan is to reduce free-riding problems.

Answers

The statement which is NOT true regarding the development of a reward system is "The key benefit of an employee share plan is to reduce free-riding problems."What is a reward system?A reward system is an organizational method for rewarding, recognizing, and compensating employees in return for their good performance or work done.

A compensation system usually includes pay and benefits such as health care, retirement plans, bonuses, profit sharing, and other reward options.Reward system and benefits are based on several factors such as job content, organizational structure, and objectives. A benefit system is often used to attract, retain and motivate employees.Key Benefits of different reward systems are as follows:a.

The key benefit of a profit-sharing plan is to encourage employees to think like owners.b. The key benefit of an individual-based incentive system is to highlight improved expectancy and instrumentality.c. The key benefit of gain-sharing plan is to introduce equity, ensuring the employees who contribute to the business can get a share of the gains.d. The key benefit of an employee share plan is to reduce free-riding problems. The above options are the key benefits of different reward systems, and all of them are true, except for option d, which is incorrect because the key benefit of the employee share plan is to promote employee ownership culture, rather than reducing free-riding problems.\

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Which variable in executive compensation packages accounts for the majority of the value associated with executive pay in Canada?
a) Base pay.
b) Annual bonuses.
c) Stock grants and stock options.
d) Perks.

Answers

c) Stock grants and stock options. In Canada, stock grants and stock options account for the majority of the value associated with executive pay in executive compensation packages.

These forms of compensation are commonly used to align the interests of executives with the long-term success of the company and its shareholders.

Stock grants involve giving executives shares of company stock as a form of compensation. This allows executives to benefit from the increase in the company's stock price over time, providing a direct link between their performance and the financial success of the organization.

Stock options, on the other hand, give executives the right to purchase company stock at a predetermined price within a specified period. If the stock price rises above the exercise price, executives can profit from the difference.

Both stock grants and stock options have the potential to provide substantial value to executives if the company performs well and the stock price increases. These forms of compensation are often tied to performance metrics and vest over a specific period, incentivizing executives to work towards long-term growth and shareholder value.

While base pay and annual bonuses are important components of executive compensation, stock grants and stock options typically represent a significant portion of the total value associated with executive pay in Canada. They provide a strong incentive for executives to drive the company's success and align their interests with shareholders.

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D mortgaged his lot to secure his debt of P1,000,000.00 to C. C caused the registration of the mortgage in the Register of Deeds. Before the debt became due, D sold the lot to X who had no knowledge of the existence of the mortgage.
A. X is not bound by the mortgage under the principle of relativity of contracts which provides that third persons cannot sue or be sued under a contract to which they were not parties.
B. The sale of the lot to X is not valid because D had no free disposal of the lot as it is the object of the mortgage between him and C.
C. C can cause the foreclosure of the mortgage to satisfy his claim if D defaults in his payment notwithstanding that D was no longer the owner the mortgaged lot.
D. X is not bound by the mortgage because he was not aware of its existence at the time he acquired the lot.

Answers

In this case, the mortgaged lot of D was sold to X before the debt became due. X had no knowledge of the existence of the mortgage.

The following are the possible results of this situation:A. X is not bound by the mortgage under the principle of relativity of contracts which provides that third persons cannot sue or be sued under a contract to which they were not parties.This statement is correct. Under the principle of relativity of contracts, only parties to the contract are bound by it. A third person, who is not a party to the contract, cannot be sued or held liable under it. In this situation, X is not bound by the mortgage contract between D and C because he was not a party to it. Hence, option A is correct.B. The sale of the lot to X is not valid because D had no free disposal of the lot as it is the object of the mortgage between him and C.This statement is not correct. The sale of the lot to X is valid. D was the legal owner of the lot at the time of the sale. He had the legal right to dispose of it. However, the sale did not affect the mortgage between D and C. Hence, option B is incorrect.C. C can cause the foreclosure of the mortgage to satisfy his claim if D defaults in his payment notwithstanding that D was no longer the owner the mortgaged lot.This statement is correct. The mortgage is a security interest in the mortgaged property. It is a right that the creditor has over the property of the debtor to secure the payment of the debt. Even if D is no longer the owner of the mortgaged lot, the mortgage remains valid and enforceable. If D defaults in his payment, C can foreclose the mortgage to satisfy his claim. Hence, option C is correct.D. X is not bound by the mortgage because he was not aware of its existence at the time he acquired the lot.This statement is correct. X is not bound by the mortgage because he was not aware of its existence at the time he acquired the lot. The mortgage is an encumbrance on the title of the mortgaged property. A person who acquires the property without notice of the encumbrance takes it free of the encumbrance. Hence, option D is correct. Answer: Options A, C, and D.

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The year-end adjusted trial balance of the Timmons Tool and Die Corporation included the following account balonces: retained earnings, $320,000; dividends, $52.000, sales revenue. $990,000; cost of goods sold, $690.000: salades expense, $150,000 rent expense. $49,000, and interest expense. $23,000. Prepare the necessary closing entries.

Answers

After posting these closing entries, the revenue, expense, and dividend accounts will have zero balances, while the retained earnings account will be updated with the net income and dividend information for the year.

To prepare the necessary closing entries, we need to close the temporary accounts (revenue, expense, and dividend accounts) and transfer their balances to the retained earnings account. Here are the closing entries based on the provided account balances:

Close Sales Revenue:

Debit: Sales Revenue ($990,000)

Credit: Retained Earnings ($990,000)

Close Cost of Goods Sold:

Debit: Retained Earnings ($690,000)

Credit: Cost of Goods Sold ($690,000)

Close Sales Expense:

Debit: Retained Earnings ($150,000)

Credit: Sales Expense ($150,000)

Close Rent Expense:

Debit: Retained Earnings ($49,000)

Credit: Rent Expense ($49,000)

Close Interest Expense:

Debit: Retained Earnings ($23,000)

Credit: Interest Expense ($23,000)

Close Dividends:

Debit: Retained Earnings ($52,000)

Credit: Dividends ($52,000)

The closing entries transfer the balances of the revenue, expense, and dividend accounts to the retained earnings account. The retained earnings account will reflect the net income (or loss) for the period, as well as the distribution of dividends.

After posting these closing entries, the revenue, expense, and dividend accounts will have zero balances, while the retained earnings account will be updated with the net income and dividend information for the year.

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Consider a plain vanilla interest rate swap. Firm A can borrow at 8 percent fixed or can borrow floating at LIBOR. Firm Bis somewhat less creditworthy and can borrow at 10 percent fixed or can borrow floating at LIBOR + 1 percent. Firm A wants to borrow floating and Firm B prefers to borrow fixed. Both corporations wish to borrow $10 million for 5 years. Which of the following swaps is mutually beneficial to each party and meets their financing needs? Multiple Choice : A borrows $10 million externally for 5 years at LIBOR, agrees to pay e percent to B for LIDOR Funed for Syears on a notational principal of $5 million, borrows $10 million externally at t0 percent. Since the so there is no mutually beneficial swap A borrows $10 milion externally at 8 percent fixed for 5 years agrees to swap LIBOR to for a percent wed for years on a notational principal of 55 million borrows $10 milion externally at UIBOR + 1 percent Firm A borrows $10 milion externally for 5 years of LIBOR, agrees to swap LIDOR to tem for 8 percent feed for 5 years on a rotational principal of $5 million borrows $10 million externally at 10 percent

Answers

The correct answer is:

b) A borrows $10 million externally at 8 percent fixed for 5 years, agrees to swap LIBOR for 9 percent fixed for 5 years on a notational principal of $5 million, and Firm B borrows $10 million externally at LIBOR + 1 percent.

This swap is mutually beneficial for both parties and meets their financing needs. Firm A, which prefers to borrow floating at LIBOR, can achieve this by borrowing externally at a fixed rate of 8 percent and entering into a swap agreement where it pays a fixed rate of 9 percent to Firm B in exchange for receiving LIBOR. Firm B, on the other hand, prefers to borrow fixed and can achieve this by borrowing externally at LIBOR + 1 percent. The swap allows both firms to effectively obtain the type of borrowing they desire while potentially benefiting from a lower interest rate.

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Should companies abandon traditional performance appraisal methods in favor of frequent conversations about performance, why or why not?

Answers

Companies should consider abandoning traditional performance appraisal methods in favor of frequent conversations about performance.

Traditional performance appraisal methods, such as annual or bi-annual reviews, often fail to provide timely and meaningful feedback to employees. They tend to be focused on past performance and rely heavily on subjective assessments, which can lead to bias and inaccurate evaluations. In contrast, frequent conversations about performance promote ongoing feedback and open communication between managers and employees. This approach allows for real-time discussions about goals, progress, and areas for improvement, fostering a more agile and adaptive work environment.

Moreover, frequent conversations about performance create opportunities for coaching and development. Managers can identify strengths and weaknesses in a timely manner, offer guidance and support, and help employees set achievable goals. This continuous feedback loop encourages employee growth and engagement, leading to higher motivation and productivity.

By embracing frequent conversations about performance, companies can cultivate a culture of continuous improvement and employee development. This approach allows for more accurate and timely feedback, promotes open communication, and fosters a positive and collaborative work environment. While completely abandoning traditional performance appraisal methods may not be feasible in all cases, incorporating frequent conversations into the performance management process can lead to better outcomes for both employees and the organization as a whole.

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This assignment requires students to analyse a case relevant to the conditions being experienced in the restaurant industry as it pertains to connecting organizational culture, diversity, values, attitudes, motivation, accountability, and talent management.

Required Materials

Konrad, A & Birbrager, L (2020). Gusto 54: Creating a Culture of Ownership and Accountability. Ivey Publishing.

Instructions

Thoroughly read the case. It is recommended that you read 2-3 times.
Prepare a 5-page report (12-point font, double spaced not including the title page or reference page), that addresses the following questions:
As of January 2020, what is Gusto 54’s competitive advantage? If COVID-19 had never happened, would you have believed that the group would be able to maintain this advantage? Why or why not?
How would you define Gusto 54’s culture as of January 2020? Does your definition vary throughout the case?
What role does values, attitudes, and diversity play at Gusto 54? Do you consider the values, attitudes, and diversity to be a strength or weakness at Gusto 54?
Do you agree or disagree with the steps that Gusto 54 took to build its "people-first"culture? Why or why not? What are the key challenges facing Gusto 54 in January 2020 (before awareness of the upcoming COVID-19 pandemic)?
If COVID-19 had never happened, which challenge would have been Gusto 54’s largest barrier to continued growth? How would you suggest the group tackle this challenge?

Answers

Using the data from the case, describe the culture at Gusto 54 as of January 2020. Describe the main obstacles Gusto 54 was facing prior to the COVID-19 epidemic. These might have to do with management, retaining talent, competition, etc.

Give an explanation of Gusto 54's competitive advantage in the restaurant sector as of January 2020 in this area. The menu's originality, the setting, the level of customer service, etc.

Discuss if you think Gusto 54's competitive edge would have persisted if the COVID-19 epidemic hadn't occurred. Consider market trends, client preferences, and the internal strengths and weaknesses of the organization as you defend your position.

Identify any shifts in how the company's culture is viewed during the course of the case. For instance, if there is proof that cultural shifts have occurred as a result of difficulties or strategic adjustments.

Consider how the company's beliefs, staff behaviors, and diversity affect how it operates and succeeds.

Decide if Gusto 54 has these qualities to its advantage or disadvantage. Back up your conclusion.

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The initial endowments of individuals A and B are given by (A, ŷA) = (2, 2) and (B, ŷB) = (6,6), respectively. UA (XA, YA) = x²y₁ and U₂(XB, YB) = YB — 0.5(8 - x)² represent their respective preferences. Note that the Marginal Rate of Substitutions, following the notations we used in class, are given by: (≤0x/0y if x₁ = 0, YA > 0 MRSA = 2yA/XA = Ox/oy if XA > 0, YA > 0 and MRSB = 8 - XB (≤0x/0y if XB = 0, YB > 0 Ox/oy if XB > 0, YB > 0 ≥ 0x/0y if XB > 0, YB = 0 = ≥ 0x/σy if XA > 0, YA = 0 (a) Determine all the Pareto optimal allocations and depict them in an Edgeworth box diagram. (b) Determine the competitive equilibrium price, and the corresponding allocation. (c) Determine whether the following allocations are Pareto optimal. If it is, find the decentralizing price ratio. If it is not, suggest a Pareto superior allocation that makes both persons strictly better off. (i) (XA, YA) = (6, 8) and (XB, YB) = (2,0) (ii) (XA, YA) = (8, 2) and (xB, YB) = (0,6)

Answers

a) The contract curve passes through (2, 6) and (6, 2),

b) The competitive equilibrium allocation is (4, 4).

c) A Pareto superior allocation that makes both individuals better off is (XA, YA) = (8, 5) and (XB, YB) = (0, 3), which lies on the contract curve and gives both individuals higher utility.

(a) All Pareto optimal allocations lie on the contract curve, which is the set of points at which the MRS of the two individuals are equal.

(b) The competitive equilibrium price is the ratio of the marginal utilities of the goods. At an allocation (x, y), the price ratio is given by MRS_A = MRS_B. Therefore, 2yA/x = 8 - x or x = 2yA/(MRS_A + 2) = 8 - 2yB/(MRS_B + 2). Solving these equations yields x = 4 and y = 4.

(c) For allocation (i), MRS_A = 16/6 and MRS_B = 0. Thus, this allocation is not Pareto optimal. A Pareto superior allocation that makes both individuals better off is (XA, YA) = (5, 8) and (XB, YB) = (3, 0), which lies on the contract curve and gives both individuals higher utility.

For allocation (ii), MRS_A = 0 and MRS_B = 16/6. Thus, this allocation is not Pareto optimal.

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A passive fund consists of 10% investment in the risk-free asset and 90% investment in the market portfolio. Suppose the market portfolio daily return has a mean of 0.1% and a standard deviation of 0.5%. The daily risk-free rate is 0%. The 5-percentile of a standard normal distribution is Z=-1.645. Using parametric method, the closest estimate of the fund's 1-day 95% Value at Risk (VaR) is:
a. 0.723%
b. 1.454%
c. 0.650%
d. 0.534%

Answers

The closest estimate of the fund's 1-day 95% Value at Risk (VaR) using the parametric method is 0.723%.

How is the VaR calculated for the passive fund?

To calculate the VaR for the passive fund, we need to consider the weighted returns of the risk-free asset and the market portfolio. Since the risk-free asset has a daily return of 0%, its contribution to the fund's overall return is zero. Therefore, we only need to focus on the market portfolio's return.

The 1-day 95% VaR represents the potential loss that the fund may experience with a 5% probability over a one-day period. To estimate this, we use the mean and standard deviation of the market portfolio's daily return.

The VaR can be calculated using the formula: VaR = Mean - (Z * Standard Deviation), where Z represents the Z-score associated with the desired confidence level. In this case, Z is -1.645 for the 5-percentile.

Substituting the given values into the formula, we have: VaR = 0.1% - (-1.645 * 0.5%) = 0.1% + 0.008225% = 0.108225% ≈ 0.108%.

Therefore, the closest estimate of the fund's 1-day 95% VaR is approximately 0.108%, which is closest to option (a) 0.723%.

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Overnight, Tiger Technology reported a loss of 10 cents per share. Tiger's loss was not as bad as most analysts expected. In fact, the stock's price fell by 30% yesterday because of one analyst said the company would lose at least 50 cents a share. Assuming the market is stable today and no other news is released, what performance would you expect for Tiger Tech's stock today?
a. Good (price should increase and reverse at least some of yesterday's decline)
b. Bad (price should decline move)

Answers

Considering the fact that Tiger Technology's loss was not as bad as most analysts had predicted, we would expect that Tiger Tech's stock today will perform well. Therefore, the expected answer is "Good (price should increase and reverse at least some of yesterday's decline)", The correct option is A.

Yesterday, the stock price of Tiger Technology fell by 30% because one analyst predicted that the company would lose at least 50 cents per share. Despite this prediction, the company reported a loss of 10 cents per share, which is less than what analysts had predicted.

Therefore, it is likely that the stock price of Tiger Technology will increase today because the company's loss was not as bad as expected. Moreover, the market is stable today and no other news has been released that would negatively impact the company's performance. As a result, the company's stock price should increase, at least partially reversing the decline that it experienced yesterday.

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XYZ is considering buying a new, high efficiency interception system. The new system would be purchased today for $48,400.00. It would be depreciated straight-line to $0 over 2 years. In 2 years, the system would be sold for an after-tax cash flow of $13,000.00. Without the system, costs are expected to be $100,000.00 in 1 year and $100,000.00 in 2 years. With the system, costs are expected to be $78,400.00 in 1 year and $68,700.00 in 2 years. If the tax rate is 45.60% and the cost of capital is 8.70%, what is the net present value of the new interception system project?
$11713.13 (plus or minus $50)
$7314.35 (plus or minus $50)
$10950.82 (plus or minus $50)
$8660.09 (plus or minus $50)
None of the above is within $50 of the correct answer

Answers

The correct answer is none of the above within $50 of the correct answer. The NPV of the project is approximately -$75,627.48.

To calculate the net present value (NPV) of the project, we need to find the present value (PV) of all cash inflows and outflows associated with the project, discounted at the cost of capital.

The cash outflows include the initial cost of the system and the operating costs in each year. The cash inflows include the after-tax salvage value of the equipment.

First, let's calculate the annual operating costs:

Without the system:

Year 1: $100,000

Year 2: $100,000

With the system:

Year 1: $78,400

Year 2: $68,700

Next, we need to calculate the depreciation expense for each year. Since the system is depreciated straight-line to $0 over 2 years, the annual depreciation expense is $48,400 / 2 = $24,200.

Using this information, we can calculate the cash flows for each year:

Year 0: -$48,400 (initial cost)

Year 1: -$78,400 (operating costs) - $24,200 (depreciation expense) = -$102,600

Year 2: -$68,700 (operating costs) - $24,200 (depreciation expense) + $13,000 (after-tax salvage value) = -$79,900

Now we can calculate the present value of each cash flow using the formula PV = CF / (1 + r)^t, where CF is the cash flow, r is the cost of capital, and t is the time period (in years).

Year 0: PV = -$48,400 / (1 + 0.087)^0 = -$48,400

Year 1: PV = -$102,600 / (1 + 0.087)^1 = -$94,707.32

Year 2: PV = -$79,900 / (1 + 0.087)^2 = -$67,479.84

Finally, we can calculate the net present value by summing the present values of all cash flows:

NPV = PV of all cash inflows - PV of all cash outflows

NPV = $67,479.84 - ($48,400 + $94,707.32) = -$75,627.48

Therefore, the correct answer is none of the above within $50 of the correct answer. The NPV of the project is approximately -$75,627.48.

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Module 9. Planning, Budgeting and Cash Flows 1. What is the relationship between the balance sheet, the income/profit and loss account, and the cash flow statement? Specifically: - In terms of time - In terms of money Examples. 2. Why cash flow is important? Examples. 3. What is the mindset when calculating the costs and the revenues, given the high uncertainty of many variables to be included? 4. What is the purpose of budgeting? 5. Which are the main points investors might focus on your budget? Justify 6. How is budgeting organically related to other parts of the business plan? 7. Different business models have different structure in the budget. Present examples and discuss the main challenges in each of them. 8. What is the break-even analysis? How do you calculate it and why is important? 9. Does budgeting in new ventures differ from budgeting in existing businesses? How? Examples. 10. How does the time value of money affect budgeting and cash flows?

Answers

Time value of money discounts the future cash flow back to the present date, using the average rate of return and the number of periods.

The net balance of money coming into and going out of a business at a particular period is referred to as cash flow. A firm constantly receives and expends cash. For instance, when a retailer buys merchandise, money leaves the company and goes to its suppliers.

A cash flow is a physical or digital movement of funds; in its strictest definition, it refers to a payment, particularly one made from one central bank account to another.

Net income plus depreciation and amortization changed working capital, and capital expenditure is all included in free cash flow. Operating Cash Flow is calculated by adding operating income to depreciation, taxes, and any changes to working capital.

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Read the questions below and list the answers below
1. Write 3 important criteria for the Medicare System
2. Write 3 important criteria for the Medicaaid System
3. List the coverage limits of the 4 important parts for the Medicare System:
MEDICARE TYPE (A)
MEDICARE TYPE (B)
MEDICARE TYPE (C)
MEDICARE TYPE (D)

Answers

Three important criteria for the Medicare System are eligibility, coverage of essential medical services, and cost-sharing provisions.

Three important criteria for the Medicaid System are income and asset eligibility requirements, coverage of essential health services, and federal-state partnership in funding.

1. Medicare System:

Eligibility: Medicare is primarily available for individuals aged 65 and older, as well as certain individuals with disabilities or specific medical conditions.Coverage of essential medical services: Medicare provides coverage for a range of essential medical services, including inpatient hospital care, outpatient services, physician visits, preventive services, and prescription drugs (covered under Part D).Cost-sharing provisions: Medicare beneficiaries are subject to cost-sharing requirements, such as deductibles, copayments, and coinsurance, to share the costs of their healthcare services.

2. Medicaid System:

Income and asset eligibility requirements: Medicaid eligibility is based on income and asset limits, varying by state. Individuals with low income, including children, pregnant women, elderly adults, and people with disabilities, may qualify for Medicaid.Coverage of essential health services: Medicaid offers coverage for essential health services, including hospital care, doctor visits, preventive care, prescription drugs, laboratory tests, and mental health services.Federal-state partnership in funding: Medicaid is jointly funded by the federal government and individual states, with federal guidelines and regulations determining the program's coverage requirements, while states have some flexibility in designing their specific Medicaid programs.

Coverage limits of the four important parts of the Medicare System:

Medicare Type A: Covers inpatient hospital care, skilled nursing facility care, hospice care, and some home health services. It generally does not require a monthly premium for most beneficiaries.Medicare Type B: Covers outpatient medical services, including doctor visits, preventive care, and medically necessary supplies. It requires a monthly premium, deductible, and coinsurance.Medicare Type C (Medicare Advantage): Provides an alternative to traditional Medicare, offering additional benefits and services through private insurance plans. Coverage and costs vary depending on the specific plan chosen.Medicare Type D: Covers prescription drugs. Beneficiaries can choose from various private drug plans, each with its own list of covered medications (formulary) and associated costs.

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Which of the following is true when an economy is at its potential GDP? a Only structural unemployment as a result of technological changes will exist in the economy. b The unemployment rate will be greater than 0%. c Only frictional unemployment will exist in the economy. d The unemployment rate will be 0%. e The labour force participation rate will be 100%.

Answers

The correct statement when an economy is at its potential GDP is that only frictional unemployment will exist in the economy, and the unemployment rate will be greater than 0%. Therefore the correct option to the given statement is C Only frictional unemployment will exist in the economy. and D The unemployment rate will be 0%

When an economy operates at its potential GDP, it means that it is producing its maximum level of output without causing inflationary pressures or overheating. At this level of output, the economy is considered to be at full employment. However, full employment does not imply zero unemployment.

Frictional unemployment is a type of unemployment that exists even at full employment. It arises from the natural process of workers searching for new and better job opportunities. When individuals voluntarily leave their current jobs to seek new employment, they become temporarily unemployed until they find suitable positions. This type of unemployment is considered to be a normal and healthy part of a dynamic and improving economy.

Therefore, at the potential GDP level, only frictional unemployment will exist because other types of unemployment, such as cyclical or structural unemployment, are minimized. The unemployment rate will still be greater than 0% due to the presence of frictional unemployment.

In conclusion, when an economy is at its potential GDP, the statement "Only frictional unemployment will exist in the economy. The unemployment rate will be greater than 0%" is true. Frictional unemployment is a natural part of a healthy economy, and even at full employment, there will be individuals in transition between jobs, resulting in a positive unemployment rate.

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How does representation of the four designated groups in the labour force compare with the Canadian population? Select one: a. Women are overrepresented in the labour force. b. Only women are underrepresented in the labour force. c. Only Aboriginals are underrepresented in the labour force. d. All four groups are underrepresented in the labour force.

Answers

The representation of the four designated groups in the labor force is underrepresented when compared to the Canadian population. Option D is the correct answer.

Who are the four designated groups?

The four designated groups are: WomenAboriginal , peoples, Visible minorities, Persons with disabilities. Due to historical discrimination and prejudice in hiring practices, these groups have been systematically excluded from job opportunities. As a result, these groups have been traditionally underrepresented in the Canadian workforce and in leadership positions within companies.

How does representation of the four designated groups in the labor force compare with the Canadian population?

When compared to the Canadian population, all four groups are underrepresented in the labor force. Women, in particular, are underrepresented in leadership roles in most companies in Canada despite constituting more than half of the population (50.4%).

Aboriginal peoples are also underrepresented in the workforce despite accounting for 5% of the Canadian population. Visible minorities represent 22% of the Canadian population, but only make up 16.5% of the labor force.

Finally, persons with disabilities, who represent 22% of the population, are also underrepresented in the workforce. In conclusion, all four designated groups are underrepresented in the labor force compared to the Canadian population.

Hence, option d. is correct.

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The nation of Ectenia has 80 competitive apple orchards, which sell apples at the world price of $2 per apple. The following equations describe the production function and the marginal product of labor in each orchard: 3
Q = 80L - L2
MPL = 80 - 2L where Q is the number of apples produced in a day, L is the number of workers, and MPL is the marginal product of labor. What is each orchard's labor demand as a function od the daily wage W?
L= 80 - 2W L= 40 - 0.5W L= 40 - 0.25W L= 3,200 - 20W

Answers

The labor demand for each orchard as a function of the daily wage (W) is:  L = 40 - 0.5W

The labor demand is determined by equating the marginal product of labor (MPL) to the wage rate. In this case, the given equation for MPL is 80 - 2L. By setting MPL equal to the wage rate (W) and solving for L, we can find the labor demand.

By substituting MPL = W into the equation 80 - 2L = W, we can rearrange it to obtain L = 40 - 0.5W. This equation represents the labor demand for each orchard in Ectenia as a function of the daily wage.

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Which one of the following is used to evaluate characteristics
of jobs in determining pay or salary?
1) Job ranking.
2) Job evaluation.
3) Compensable factors.
4) Benchmarking

Answers

Job evaluation is used to evaluate the characteristics of jobs in determining pay or salary. Job evaluation assesses and compares the relative worth or value of different jobs within an organization. Therefore, option 2) is the correct option.

It involves analyzing various factors such as skill requirements, responsibilities, experience, effort, and working conditions to determine the job's relative worth in relation to other positions. Through job evaluation, organizations can establish a hierarchical structure and assign appropriate pay or salary levels to each job.

This helps ensure internal equity and fairness in compensation, as jobs with higher levels of complexity, responsibility, or skill requirements are typically assigned higher pay grades.

Job ranking (option 1) involves simply ordering jobs based on their importance or value, without considering specific factors or criteria. Compensable factors (option 3) refer to the elements or attributes that are considered in determining compensation, but they are not the evaluation process itself.

Benchmarking (option 4) involves comparing an organization's practices or performance against industry or market standards and does not directly evaluate job characteristics.

In conclusion, job evaluation is the specific method used to evaluate the characteristics of jobs in determining pay or salary. It enables organizations to establish fair and consistent compensation structures based on the relative worth of different positions within the company. Therefore, option 2) is the correct option.

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The market and Stock J have the following probability distributions: Probability ™M 0.3 14.00 % 21.00 % 0.4 8.00 3.00 0.3 19.00 10.00 The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below. Open spreadsheet a. Calculate the expected rate of return for the market. Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the expected rate of return for Stock J. Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation for the market. Do not round intermediate calculations. Round your answer to two decimal places. Calculate the standard deviation for Stock J. Do not round intermediate calculations. Round your answer to two decimal places. %

Answers

According to the question we can calculate the expected rate of return and standard deviation:

a. Expected rate of return:

To calculate the expected rate of return, you need to multiply each possible return by its corresponding probability and sum them up.

For the market:

Expected rate of return = (Probability1 * Return1) + (Probability2 * Return2) + (Probability3 * Return3)

For Stock J:

Expected rate of return = (Probability1 * Return1) + (Probability2 * Return2) + (Probability3 * Return3)

b. Standard deviation:

To calculate the standard deviation, you need to calculate the variance first. The variance is the average of the squared differences between each return and the expected rate of return.

For the market:

Variance = (Probability1 * (Return1 - Expected Return)^2) + (Probability2 * (Return2 - Expected Return)^2) + (Probability3 * (Return3 - Expected Return)^2)

Standard deviation = square root of the variance

For Stock J:

Variance = (Probability1 * (Return1 - Expected Return)^2) + (Probability2 * (Return2 - Expected Return)^2) + (Probability3 * (Return3 - Expected Return)^2)

Standard deviation = square root of the variance

Please provide the values for Return1, Return2, and Return3 in the probability distributions, and I can assist you in calculating the expected rate of return and standard deviation for the market and Stock J.

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You find a stock selling for $37.02 that has a dividend yield of
2.1 percent and a PE ratio of 13.7. What is the earnings per share
(EPS) for the company? (Round your answer to 2 decimal
places.)

Answers

The earning per share which is the ratio of the earning and P.E ratio is $2.70

Earning per share

To find the earnings per share (EPS) for the company, we can use the PE ratio formula:

PE ratio = Price per share / Earnings per share

Given that the stock has a PE ratio of 13.7 and is selling for $37.02.

we can rearrange the formula to solve for EPS:

EPS = Price per share / PE ratio

EPS = $37.02 / 13.7

EPS ≈ $2.70

Therefore, the earnings per share (EPS) for the company is approximately $2.70.

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Reflect on your experiences as a student in this subject. With reference to relevant organisational behaviour literature, identify and discuss two types of power you exercised during group work and provide an example of each (6 marks). Explain two ways to enhance your power as a student at university (4 marks).

Answers

The type of power that individuals can exercise during group work based on organizational behavior literature.

Two types of power that can be exercised during group work are:

1. Expert power: This type of power is based on an individual's knowledge, skills, and expertise in a particular area. When a student possesses expert power, they are seen as credible and knowledgeable, and others in the group may defer to their judgment or rely on their expertise. For example, a student who excels in statistics may exercise expert power by guiding the group in analyzing and interpreting data for a research project.

2. Referent power: Referent power is based on an individual's charisma, likability, and ability to establish strong relationships with others. When a student has referent power, their peers are influenced by their positive qualities, admire and respect them, and are motivated to follow their lead. For instance, a student who is well-liked and has excellent interpersonal skills may exercise referent power by effectively facilitating group discussions and fostering a positive team dynamic.

To enhance power as a student at university, two ways could be:

1. Developing expertise: By continuously building knowledge and skills in a specific area, such as through additional coursework, research projects, or practical experience, a student can enhance their expert power. This can involve staying updated with relevant literature, attending seminars or workshops, and seeking opportunities for hands-on learning.

2. Building relationships and networking: Establishing connections with professors, classmates, and professionals in the field can enhance referent power. Actively participating in class discussions, joining student organizations, attending networking events, and seeking mentorship can help students expand their networks and develop strong relationships, which can increase their influence and power within the university context.

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Fill in the missing numbers in the following income statement: (Do not round intermediate calculations.)

sales $645,400
costs $346,900
depreciation 97,600
EBIT _?
Taxes (30%) _?
Net INcome ?
Requirement 2:

What is the OCF?

Requirement 3:

What is the depreciation tax shield?

Answers

Filling the missing numbers in the given income statement :Given sales = $645,400Given costs = $346,900Given depreciation = $97,600Calculation for EBIT:We know,EBIT = Sales – Costs – Depreciation EBIT = $645,400 – $346,900 – $97,600EBIT = $200,900Calculation for Taxes:Taxes = 30% × EBITTaxes = 30% × $200,900Taxes = $60,270

Calculation for Net Income :We know,Net Income = EBIT – Taxes Net Income = $200,900 – $60,270Net Income = $140,630Calculation for OCF:We know,OCF = EBIT + Depreciation OCF = $200,900 + $97,600OCF = $298,500Calculation for Depreciation Tax Shield:Depreciation Tax Shield = Depreciation × Tax rate Depreciation Tax Shield = $97,600 × 30%Depreciation Tax Shield = $29,280Hence, the solution is given as below:Calculation of EBIT: EBIT = $200,900Calculation of Taxes: Taxes = $60,270Calculation of Net Income: Net Income = $140,630Calculation of OCF: OCF = $298,500Calculation of Depreciation Tax Shield: Depreciation Tax Shield = $29,280

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Your marketing plan needs a market-product grid to (a) focus your marketing efforts and (b) help you create a forecast of sales for the company. Use these steps: 1. Define the market segments (the rows in your grid) using the bases of segmentation used to segment consumer and organizational markets. 2. Define the groupings of related products (the columns in your grid). 3. Form your grid and estimate the size of the market in each market-product cell. 4. Select the target market segments on which to focus your efforts with your marketing program. 5. Use the information and the lost-horse forecasting technique (discussed in Chapter 7) to make a sales forecast (company forecast). 6. Draft your positioning statement.

Answers

A market-product grid helps focus marketing efforts and forecast sales by (a) defining market segments, (b) grouping related products, (c) estimating market size, (d) selecting target markets, (e) using forecasting techniques, and (f) drafting a positioning statement.

A market-product grid is a tool used in marketing planning that helps identify market segments and related products, estimate market size, and select target markets. By defining market segments based on segmentation bases like demographics or behavior, and grouping related products, the grid provides a framework for analyzing market opportunities.

Estimating market size in each market-product cell allows for identifying potential sales opportunities. The selection of target market segments enables focused marketing efforts. Utilizing forecasting techniques like the lost-horse method helps predict sales. Finally, drafting a positioning statement ensures a clear and compelling message for the target markets.

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Write a report discussing the importance of human resource management with tools, techniques, procedures, and programs and how they are used to manage human resources in organizations. (500 words) . Choose a local or international company and discuss how this company will do the following: • Develop a strategic plan for human resources and how to design a valid recruitment and selection system. . Assessing training needs and designing and evaluating a training program. (500 words) . Project Summary: You must provide a comprehensive summary that summarizes the entire project and reflects the learning and applications used in the HRM301 course (500 words)

Answers

Human Resource Management Human Resource Management (HRM) is a business practice that involves the management of human resources or people who work for the organization.

It is a process that involves recruitment, selection, training and development, performance management, compensation, employee relations, and health and safety. HRM is an important part of business management, and it has become a strategic function that influences the overall success of an organization. This report will discuss the importance of human resource management, with tools, techniques, procedures, and programs, and how they are used to manage human resources in organizations.

Developing a strategic plan for human resources and designing a valid recruitment and selection systemA strategic plan is a document that outlines an organization's goals and objectives and how it will achieve them. It is a long-term plan that is designed to guide the organization's activities and decision-making processes. A strategic plan for human resources is designed to align the organization's human resources with its strategic goals and objectives. It involves identifying the organization's human resources needs and developing a plan to meet those needs.A valid recruitment and selection system is an important component of a strategic plan for human resources. It is a process that involves attracting, selecting, and hiring the best candidates for the job.

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which of the following questions will best guide a follow-up investigation about the role of pheromones in locating prey?

Answers

The question that will best guide a follow-up investigation about the role of pheromones in locating prey is "How do pheromones work to economics locate prey in different environments?".

The best way to carry out an investigation on the role of pheromones in locating prey is to formulate a research question that can guide the investigation. The research question should be clear, concise, and straightforward. It should help the investigator to focus on the important aspects of the investigation and provide useful insights into the role of pheromones in locating prey.

In this case, the question that will best guide a follow-up investigation about the role of pheromones in locating prey is This question is specific, clear, and straightforward. It focuses on the role of pheromones in locating prey and how they work in different environments, which is important for understanding their overall effectiveness and applicability. Thus, this research question is the best way to guide an investigation into the role of pheromones in locating prey in different environments.

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Write short notes on Population and Purposive sampling. (8
Marks)

Answers

Population Sampling: Population sampling is a method of selecting a subset of individuals or items from a larger population for research or analysis.

It involves studying the characteristics of the entire population based on the sample selected.

The goal of population sampling is to ensure that the selected sample is representative of the larger population, allowing for accurate generalizations and conclusions.

Random sampling, stratified sampling, and cluster sampling are common techniques used in population sampling.

Random sampling involves selecting individuals randomly from the population, ensuring each member has an equal chance of being included.

Stratified sampling involves dividing the population into distinct groups or strata and then randomly selecting samples from each stratum.

Cluster sampling involves dividing the population into clusters and randomly selecting entire clusters as samples.

Population sampling is commonly used in survey research, market research, and opinion polls.

Purposive Sampling: Purposive sampling, also known as judgmental or selective sampling, is a non-probability sampling technique where the researcher selects specific individuals or items based on their knowledge and judgment.

In purposive sampling, the researcher intentionally chooses participants who possess certain characteristics or have specific expertise related to the research objective.

This sampling method is often used when the researcher seeks to gain in-depth insights, unique perspectives, or specialized knowledge from a targeted group.

Purposive sampling is commonly used in qualitative research methods, such as case studies, ethnography, and phenomenology.

It allows researchers to select participants who can provide rich and valuable information relevant to the research questions.

However, the results obtained from purposive sampling may not be generalizable to the larger population since the sample is not randomly selected.

Researchers using purposive sampling should be cautious about potential biases and limitations in their findings.

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(1) Compute the predetermined overhead application rate per hour for total overhead, variable overhead, and fixed overhead. Predetermined OH Rate Variable overhead costs Fixed overhead costs Total overhead costs (2) Compute the total variable and total fixed overhead variances and classify each as favorable or unfavorable. (Indicate the effect of each variance by selecting for favorable, unfavorable, and no variance. Round "Rate per hour" answers to 2 decimal places.) --------At 65% of Operating Capacity- Standard DL Overhead Costs Actual Results Variance Fav./Unf. Hours Applied Variable overhead costs Fixed overhead costs Total overhead costs

Answers

To compute the predetermined overhead application rate per hour for total overhead, variable overhead, and fixed overhead, we need to compute the rates using the formula;

Predetermined Overhead Application Rate = Estimated Overhead Costs/ Estimated Activity Level.1. Total Overhead costs Predetermined OH Rate = $800,000/ 50,000 hours= $16 per hour2. Variable overhead costs Predetermined OH Rate = $400,000/ 50,000 hours= $8 per hour3.

Total variable overhead variance = $420,000 - ($8 × 51,000) = $420,000 - $408,000 = $12,000 unfavorable.2. Total fixed overhead variance. Total fixed overhead variance = $260,000 - ($8 × 51,000) = $260,000 - $408,000 = $148,000 favorable. Thus, the total variable overhead variance is $12,000 unfavorable while the total fixed overhead variance is $148,000 favorable.

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True or false?
PEST is an analysis model often used for market environment analysis. It consists of political, educational, social-cultural and technological environment analysis.
Drivers for globalization are technology, liberalization of trade, expansion of multinational enterprises, regional economic integration, international organizations.

Answers

The statement is partially true and partially false.

PEST is an analysis model often used for market environment analysis. It stands for Political, Economic, Social, and Technological analysis. However, the statement incorrectly mentions "educational" instead of "economic" in the acronym. So, it should be Political, Economic, Social, and Technological (PEST) analysis.

The drivers for globalization are indeed technology, liberalization of trade, expansion of multinational enterprises, regional economic integration, and international organizations. These factors have played significant roles in facilitating and promoting globalization.

In summary:

True: PEST is an analysis model often used for market environment analysis, and it consists of Political, Economic, Social, and Technological factors.

True: The drivers for globalization include technology, liberalization of trade, expansion of multinational enterprises, regional economic integration, and international organizations.

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The effective market rate was 16%.7. On January 5, 2021, LTY learned that one of its competitors is selling a product that LTY has exclusive rights to sell. LTY filed a lawsuit against the competitor, and, in all likelihood, its attorneys felt that it could recover at least $1,500,000.Prepare the journal entry for the transactions or adjustments listed below. If a journal entry is not required, write NOT APPLICABLE. Upon completion of this project, any additional assumptions that have been made should be included in the explanation of the journal entry. Taggart Inc.'s stock has a 50% chance of producing a 40% return, a 30% chance of producing an 11% return, and a 20% chance of producing a -27% return. What is the firm's expected rate of return? Do not round your intermediate calculations. What does a business "look for" in its customers? What is Market Basket Analysis? How can Market Basket analysis be used? For a positive interest rate, positive periods and positive cash flow:a) Future Value will always exceed present value for a given lump sumb) Future and present values will be the same for a given lump sumc) Present value will always exceed future value for a given lump sumd) It depends on the number of periods a company uses its company-wide cost of capital to evaluate new capital investments. what is the implication of this policy when the company has multiple operating divisions, each having unique risk attributes and capital costs? 1. What are the ethical theories and approaches for decision making?Explain. Ethics is a conception of right and wrong behavior, defining for us when our actions are moral and when immoral. A business is considered to be ethical only if it tries to reach a trade off between pursuing economic objective and its social obligations.2. Explain various ethical theoriesNote: Please give this 2question answer please ..... There are many variations of the mergesort algorithm having different strategies to reduce memory usage and array copying. Suppose that you are given a merge method with the following declaration: /** * Merges two sorted subarrays of a given array, storing the result back in * the given array. That is, when the method is called, arr[start] through arr[mid) is already sorted, and arr(mid + 1] through arr[end] is already sorted * * * When the method returns, * * arr[start] through arr[end] is sorted. private static void merge (int[] arr, int start, int end, int mid) Suppose that you are also given the public method: public static void mergeSort (int[] arr) { mergeSortRec(arr, o, arr.length - 1); } Write the following recursive helper method that will sort a given subarray using the merge sort algorithm: /** * Performs a recursive merge sort of the subarray consisting of * arr[start] through arr[end]. */ private static void mergeSortRec(int[] arr, int start, int end) Note: This problem is NOT asking you to rewrite the merge() method! You can find a sample solution for the problem above, along with another other variation of mergesort, in the week 11 code examples for Sections A and B (link #6 on the Canvas front page). 9. Rewrite the base case of your mergesort implementation above so that whenever the subarray has size 5 or less, it directly sorts it using a selection sort algorithm. Verity that the equation is an identity cos (tan0+1)-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations a