Practice post utme lautech commerce 2024 Past Questions

Question 1

A company's inventory management system uses the Economic Order Quantity (EOQ) model to determine the optimal order quantity. The EOQ model is given by the formula: ( Q = sqrt{rac{2DS}{h}} ), where Q is the optimal order quantity, D is the demand rate, S is the ordering cost, and h is the holding cost. If the demand rate is 1000 units per month, the ordering cost is ₦1000 per order, and the holding cost is ₦50 per unit per month, what is the optimal order quantity?

A. 500

Correct B. 1000

C. 2000

D. 5000

Correct Answer: B

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Question 2

A bank's cash management system uses the following formula to calculate the optimal cash balance: ( B = sqrt{rac{2D}{h}} ), where B is the optimal cash balance, D is the daily cash inflow, and h is the holding cost. If the daily cash inflow is ₦100,000 and the holding cost is 5% per annum, what is the optimal cash balance?

A. ₦1000

B. ₦10,000

Correct C. ₦100,000

D. ₦1,000,000

Correct Answer: C

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Question 3

A company's transportation system uses the following formula to calculate the optimal route: ( R = sqrt{rac{2D}{h}} ), where R is the optimal route, D is the distance between two points, and h is the holding cost. If the distance between two points is 100 km and the holding cost is ₦50 per km per hour, what is the optimal route?

A. 50 km

Correct B. 100 km

C. 150 km

D. 200 km

Correct Answer: B

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Question 4

A company's communication system uses the following formula to calculate the optimal transmission rate: ( T = sqrt{rac{2D}{h}} ), where T is the optimal transmission rate, D is the data transfer rate, and h is the holding cost. If the data transfer rate is 100 Mbps and the holding cost is ₦50 per Mbps per hour, what is the optimal transmission rate?

A. 50 Mbps

Correct B. 100 Mbps

C. 150 Mbps

D. 200 Mbps

Correct Answer: B

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Question 5

A company's warehousing system uses the following formula to calculate the optimal storage capacity: ( S = sqrt{rac{2D}{h}} ), where S is the optimal storage capacity, D is the demand rate, and h is the holding cost. If the demand rate is 1000 units per month and the holding cost is ₦50 per unit per month, what is the optimal storage capacity?

A. 500 units

Correct B. 1000 units

C. 2000 units

D. 5000 units

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. Easy to set up

Correct C. Flexibility in decision-making

D. Tax benefits

Correct Answer: C

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Question 7

A company has a capital structure consisting of 60% debt and 40% equity. If the company's cost of debt is 8% and its cost of equity is 12%, what is the company's weighted average cost of capital (WACC)?

A. 6%

Correct B. 8%

C. 10%

D. 12%

Correct Answer: B

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Question 8

A life insurance policy has a premium of ₦10,000 per annum and a benefit of ₦500,000. If the policyholder dies after 5 years, what is the total benefit paid to the beneficiary?

A. ₦250,000

Correct B. ₦500,000

C. ₦750,000

D. ₦1,000,000

Correct Answer: B

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Question 9

A company is considering launching a new product in a foreign market. The company's marketing manager has identified three potential marketing strategies: product placement, social media advertising, and influencer marketing. Which strategy is most likely to be effective in reaching the target audience?

A. Product placement

B. Social media advertising

Correct C. Influencer marketing

D. Content marketing

Correct Answer: C

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Question 10

A company has a marketing budget of ₦1,000,000. The company's marketing manager wants to allocate the budget across three marketing channels: social media, email marketing, and content marketing. If the company wants to allocate 30% of the budget to social media, 20% to email marketing, and 50% to content marketing, what is the total budget allocated to content marketing?

A. ₦250,000

B. ₦500,000

C. ₦750,000

Correct D. ₦1,000,000

Correct Answer: D

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Question 11

In a perfectly competitive market, the law of supply states that as the price of a good increases, the quantity supplied will

A. decrease

Correct B. increase

C. remain constant

D. become elastic

Correct Answer: B

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Question 12

A firm's production function is given by Q = 2L^0.5K^0.5. If the price of labor is ₦50 per unit and the price of capital is ₦100 per unit, and the firm wants to maximize its profit, what is the optimal level of labor (L) and capital (K)?

Correct A. L = 100, K = 100

B. L = 50, K = 50

C. L = 200, K = 200

D. L = 150, K = 150

Correct Answer: A

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Question 13

A consumer has a budget of ₦1000 and a preference for two goods, A and B. The prices of the goods are ₦200 and ₦300 respectively. If the consumer's indifference curves are convex to the origin, what is the optimal bundle of goods A and B?

A. A = 2, B = 3

Correct B. A = 3, B = 2

C. A = 4, B = 1

D. A = 1, B = 4

Correct Answer: B

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Question 14

A firm's cost function is given by C(Q) = 2Q^2 + 100Q. If the firm produces 100 units of output, what is the total cost?

A. ₦20000

Correct B. ₦30000

C. ₦40000

D. ₦50000

Correct Answer: B

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Question 15

A consumer's utility function is given by U(x, y) = 2x + 3y. If the consumer's income is ₦1000 and the prices of the goods are ₦200 and ₦300 respectively, what is the optimal bundle of goods x and y?

Correct A. x = 2, y = 3

B. x = 3, y = 2

C. x = 4, y = 1

D. x = 1, y = 4

Correct Answer: A

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Question 16

A company's production function is given by Q = 100L^0.5K^0.5, where Q is the quantity produced, L is the labor input, and K is the capital input. If the company wants to increase its production by 20%, what percentage increase in labor input is required, assuming the capital input remains constant?

A. 10%

B. 15%

Correct C. 20%

D. 25%

Correct Answer: C

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Question 17

A firm is considering two different modes of transportation for its products: road and rail. The cost of transporting a unit of product by road is ₦200, while the cost of transporting a unit of product by rail is ₦150. If the firm wants to minimize its transportation cost, what is the optimal mode of transportation?

A. Road

Correct B. Rail

C. Both

D. Neither

Correct Answer: B

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Question 18

A company has a production function Q = 2L^0.5K^0.5, where Q is the quantity produced, L is the labor input, and K is the capital input. If the company wants to increase its production by 50%, what percentage increase in capital input is required, assuming the labor input remains constant?

A. 10%

B. 20%

Correct C. 30%

D. 40%

Correct Answer: C

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Question 19

A firm is considering two different modes of transportation for its products: air and sea. The cost of transporting a unit of product by air is ₦300, while the cost of transporting a unit of product by sea is ₦250. If the firm wants to minimize its transportation cost, what is the optimal mode of transportation?

A. Air

Correct B. Sea

C. Both

D. Neither

Correct Answer: B

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Question 20

A company has a production function Q = 3L^0.5K^0.5, where Q is the quantity produced, L is the labor input, and K is the capital input. If the company wants to increase its production by 30%, what percentage increase in labor input is required, assuming the capital input remains constant?

A. 10%

B. 20%

Correct C. 30%

D. 40%

Correct Answer: C

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Question 21

A company is considering two different marketing strategies for its new product. Strategy A involves a high upfront cost of ₦5 million, but it is expected to generate ₦20 million in revenue over the next 5 years. Strategy B involves a lower upfront cost of ₦2 million, but it is expected to generate ₦15 million in revenue over the next 5 years. Which strategy has a higher net present value (NPV) if the discount rate is 10%?

Correct A. Strategy A

B. Strategy B

C. Both strategies have the same NPV

D. Neither strategy has a positive NPV

Correct Answer: A

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Question 22

A firm is considering investing in a new project. The project requires an initial investment of ₦10 million and is expected to generate ₦8 million in revenue per year for 5 years. The firm's cost of capital is 12%. What is the project's internal rate of return (IRR)?

Correct A. 10%

B. 12%

C. 15%

D. 18%

Correct Answer: A

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Question 23

A company is considering two different transportation options for its products. Option A involves a fixed cost of ₦500,000 and a variable cost of ₦2 per unit. Option B involves a fixed cost of ₦300,000 and a variable cost of ₦3 per unit. If the company expects to sell 10,000 units, which option is more cost-effective?

Correct A. Option A

B. Option B

C. Both options are equally cost-effective

D. Neither option is cost-effective

Correct Answer: A

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Question 24

A bank is considering two different loan options for its customers. Option A involves a fixed interest rate of 10% and a variable interest rate of 5% per annum. Option B involves a fixed interest rate of 12% and a variable interest rate of 3% per annum. If the customer expects to repay the loan in 5 years, which option is more beneficial?

Correct A. Option A

B. Option B

C. Both options are equally beneficial

D. Neither option is beneficial

Correct Answer: A

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Question 25

A firm is considering investing in a new production process. The process requires an initial investment of ₦15 million and is expected to generate ₦12 million in revenue per year for 10 years. The firm's cost of capital is 15%. What is the project's payback period?

A. 5 years

Correct B. 6 years

C. 7 years

D. 8 years

Correct Answer: B

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