Practice post utme skyline university commerce 2023 Past Questions

Question 1

In a perfectly competitive market, the law of diminishing marginal utility leads to a decrease in the marginal revenue product of a firm's inputs. What is the consequence of this decrease on the firm's production?

A. The firm will increase its production to take advantage of the decrease in marginal revenue product.

Correct B. The firm will decrease its production to minimize losses.

C. The firm will maintain its current production level, as the decrease in marginal revenue product is offset by the law of diminishing marginal utility.

D. The firm will increase its production to take advantage of the decrease in marginal revenue product, but only if the decrease is significant.

Correct Answer: B

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Question 2

A firm is considering investing in a new production technology that will increase its output by 20% but also increase its costs by 15%. Using the concept of opportunity cost, what is the opportunity cost of the firm's investment in the new technology?

A. The opportunity cost is the 20% increase in output.

B. The opportunity cost is the 15% increase in costs.

Correct C. The opportunity cost is the 20% increase in output minus the 15% increase in costs.

D. The opportunity cost is the 20% increase in output plus the 15% increase in costs.

Correct Answer: C

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Question 3

A consumer is faced with a choice between two goods: a smartphone and a laptop. The consumer's budget is ₦50,000. The smartphone costs ₦30,000, and the laptop costs ₦20,000. Using the concept of indifference curves, what is the consumer's optimal choice?

A. The consumer will choose the smartphone.

Correct B. The consumer will choose the laptop.

C. The consumer will choose both the smartphone and the laptop.

D. The consumer will choose neither the smartphone nor the laptop.

Correct Answer: B

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Question 4

A firm is considering investing in a new production technology that will increase its output by 20% but also increase its costs by 15%. Using the concept of opportunity cost, what is the opportunity cost of the firm's investment in the new technology?

A. The opportunity cost is the 20% increase in output.

B. The opportunity cost is the 15% increase in costs.

Correct C. The opportunity cost is the 20% increase in output minus the 15% increase in costs.

D. The opportunity cost is the 20% increase in output plus the 15% increase in costs.

Correct Answer: C

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Question 5

A consumer is faced with a choice between two goods: a smartphone and a laptop. The consumer's budget is ₦50,000. The smartphone costs ₦30,000, and the laptop costs ₦20,000. Using the concept of indifference curves, what is the consumer's optimal choice?

A. The consumer will choose the smartphone.

Correct B. The consumer will choose the laptop.

C. The consumer will choose both the smartphone and the laptop.

D. The consumer will choose neither the smartphone nor the laptop.

Correct Answer: B

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Question 6

In a sole trade business, what is the primary advantage of using a sole proprietorship structure?

A. Limited liability

B. Tax benefits

Correct C. Flexibility in decision-making

D. Easy to establish

Correct Answer: C

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Question 7

A company has a capital structure consisting of 60% equity and 40% debt. If the company's cost of equity is 12% and the cost of debt is 6%, what is the weighted average cost of capital (WACC)?

A. 7.2%

Correct B. 8.4%

C. 9.6%

D. 10.8%

Correct Answer: B

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Question 8

A consumer has a budget constraint of ₦1,000 and a preference for two goods, A and B. The prices of the goods are ₦200 and ₦300, respectively. If the consumer's indifference curve is tangent to the budget line, what is the optimal quantity of good A?

A. 2 units

Correct B. 3 units

C. 4 units

D. 5 units

Correct Answer: B

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Question 9

A company is considering two different storage options for its inventory: a warehouse with a capacity of 1,000 units and a storage facility with a capacity of 500 units. If the company's current inventory level is 800 units, what is the optimal storage option?

Correct A. Warehouse

B. Storage facility

C. Both options are equally optimal

D. Neither option is optimal

Correct Answer: A

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Question 10

A business has a sole proprietorship structure and is considering expanding its operations to a new location. What is the primary advantage of this expansion?

Correct A. Increased revenue

B. Improved brand recognition

C. Enhanced customer service

D. Reduced competition

Correct Answer: A

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Question 11

In a just-in-time (JIT) inventory system, what is the primary goal of the reorder point?

A. To minimize inventory costs

B. To maximize inventory turnover

C. To ensure that inventory levels are always at a minimum

Correct D. To reduce the risk of stockouts

Correct Answer: D

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Question 12

A company has a warehouse with a capacity of 10,000 units. The company receives an order for 5,000 units. If the reorder point is set at 8,000 units, what is the probability that the warehouse will be depleted before the next shipment arrives?

A. 0.2

Correct B. 0.5

C. 0.8

D. 0.9

Correct Answer: B

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Question 13

A firm uses the economic order quantity (EOQ) model to determine its inventory levels. If the ordering cost is ₦100, the holding cost is ₦20, and the annual demand is 10,000 units, what is the optimal order quantity?

A. 1,000 units

B. 2,000 units

Correct C. 5,000 units

D. 10,000 units

Correct Answer: C

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Question 14

A company has a warehouse with a capacity of 10,000 units. The company receives an order for 5,000 units. If the reorder point is set at 8,000 units, what is the probability that the warehouse will be depleted before the next shipment arrives?

A. 0.2

Correct B. 0.5

C. 0.8

D. 0.9

Correct Answer: B

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Question 15

A firm uses the economic order quantity (EOQ) model to determine its inventory levels. If the ordering cost is ₦100, the holding cost is ₦20, and the annual demand is 10,000 units, what is the optimal order quantity?

A. 1,000 units

B. 2,000 units

Correct C. 5,000 units

D. 10,000 units

Correct Answer: C

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Question 16

A company is considering the implementation of a new inventory management system. The system will cost ₦1,500,000 and is expected to reduce inventory costs by 15% annually. If the company's current inventory costs are ₦3,000,000 per annum, what is the expected return on investment (ROI) for the first year?

Correct A. 25%

B. 30%

C. 35%

D. 40%

Correct Answer: A

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Question 17

A sole trader, Mr. A, has a business that generates an average annual profit of ₦500,000. If he decides to incorporate his business, what will be the tax implications for him?

A. He will pay more taxes as a sole trader.

B. He will pay the same amount of taxes as a sole trader.

Correct C. He will pay less taxes as a sole trader.

D. He will pay no taxes as a sole trader.

Correct Answer: C

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Question 18

A company has a warehouse with a capacity to store 10,000 units of goods. If the company receives an order for 8,000 units, what is the maximum number of units that can be stored in the warehouse?

A. 6,000

B. 7,000

C. 8,000

Correct D. 9,000

Correct Answer: D

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Question 19

A bank offers a loan of ₦1,000,000 at an interest rate of 12% per annum. If the loan is repayable in 5 years, what is the total amount to be repaid at the end of the loan period?

A. ₦1,200,000

B. ₦1,300,000

C. ₦1,400,000

Correct D. ₦1,500,000

Correct Answer: D

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Question 20

A consumer protection agency has received a complaint from a customer who was sold a defective product. The product was sold for ₦50,000 and the customer is seeking a refund. If the agency determines that the product was indeed defective, what is the maximum amount that the seller can be ordered to pay?

A. ₦50,000

B. ₦75,000

C. ₦100,000

Correct D. ₦125,000

Correct Answer: D

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Question 21

A firm specializes in producing two goods, X and Y, using two inputs, labor (L) and capital (K). The production functions for X and Y are given by the following equations: X = 2L + 3K Y = 4L + 2K The firm's objective is to maximize its profit, which is given by the equation: Profit = P_X * X + P_Y * Y - (W * L + R * K) where P_X and P_Y are the prices of goods X and Y, W is the wage rate, and R is the rental rate of capital. Using the Lagrange multiplier method, derive the first-order conditions for the firm's profit-maximization problem.

Correct A. The firm should produce more of good X and less of good Y.

B. The firm should produce more of good Y and less of good X.

C. The firm should produce an equal amount of both goods X and Y.

D. The firm should produce neither good X nor good Y.

Correct Answer: A

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Question 22

A company has a warehouse with a capacity to store 1000 units of goods. The company receives a shipment of 800 units of goods and wants to determine the optimal storage policy. The storage costs are given by the following equation: Storage Cost = (Number of Units Stored)^2 / 100 Using the concept of inventory management, derive the optimal storage policy for the company.

A. The company should store all 800 units of goods in the warehouse.

Correct B. The company should store 600 units of goods in the warehouse and order 200 more units.

C. The company should store 400 units of goods in the warehouse and order 400 more units.

D. The company should store 200 units of goods in the warehouse and order 600 more units.

Correct Answer: B

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Question 23

A consumer has a budget of ₦1000 to spend on two goods, A and B. The prices of goods A and B are ₦200 and ₦300, respectively. The consumer's indifference curves are given by the following equation: U = 2A + 3B Using the concept of consumer behavior, derive the consumer's optimal consumption bundle.

Correct A. The consumer should consume 2 units of good A and 1 unit of good B.

B. The consumer should consume 1 unit of good A and 2 units of good B.

C. The consumer should consume 3 units of good A and 1 unit of good B.

D. The consumer should consume 1 unit of good A and 3 units of good B.

Correct Answer: A

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Question 24

A firm has a production function given by the following equation: Q = 2L^2 + 3K where Q is the quantity produced, L is the labor input, and K is the capital input. The firm's objective is to maximize its profit, which is given by the equation: Profit = P * Q - (W * L + R * K) where P is the price of the good, W is the wage rate, and R is the rental rate of capital. Using the concept of production and cost, derive the firm's optimal input bundle.

A. The firm should use 2 units of labor and 1 unit of capital.

Correct B. The firm should use 1 unit of labor and 2 units of capital.

C. The firm should use 3 units of labor and 1 unit of capital.

D. The firm should use 1 unit of labor and 3 units of capital.

Correct Answer: B

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Question 25

A firm has a warehouse with a capacity to store 500 units of goods. The firm receives a shipment of 300 units of goods and wants to determine the optimal storage policy. The storage costs are given by the following equation: Storage Cost = (Number of Units Stored)^2 / 100 Using the concept of inventory management, derive the optimal storage policy for the firm.

A. The firm should store all 300 units of goods in the warehouse.

Correct B. The firm should store 200 units of goods in the warehouse and order 100 more units.

C. The firm should store 100 units of goods in the warehouse and order 200 more units.

D. The firm should store 50 units of goods in the warehouse and order 250 more units.

Correct Answer: B

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