POST UTME MADONNA UNIVERSITY 2025 Commerce | Objective

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Question 1
Determine the optimal production level for a firm with a production function Q = 100L^0.5, where L is labor, and a market demand function P = 100 - Q, where P is price. Assuming a constant wage rate of ₦500 per unit of labor, find the profit-maximizing level of production.
A. 200 units
Correct B. 300 units
C. 400 units
D. 500 units

Correct Answer: B

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Question 2
A firm has the following cost function: C(Q) = 100 + 2Q + 0.5Q^2. Using the concept of marginal cost, determine the level of production that will maximize profits, given a market demand function P = 200 - Q.
A. 100 units
Correct B. 200 units
C. 300 units
D. 400 units

Correct Answer: B

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Question 3
A company has the following inventory levels: 100 units on hand, 50 units on order, and a lead time of 5 days. Using the Economic Order Quantity (EOQ) model, determine the optimal order quantity.
A. 200 units
B. 300 units
Correct C. 400 units
D. 500 units

Correct Answer: C

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Question 4
A firm has the following marketing budget: ₦1,000,000. Using the 4Ps of marketing (Product, Price, Place, Promotion), determine the optimal marketing mix for a new product launch.
Correct A. ₦200,000 for Product, ₦300,000 for Price, ₦200,000 for Place, ₦300,000 for Promotion
B. ₦300,000 for Product, ₦200,000 for Price, ₦300,000 for Place, ₦200,000 for Promotion
C. ₦400,000 for Product, ₦200,000 for Price, ₦200,000 for Place, ₦300,000 for Promotion
D. ₦500,000 for Product, ₦200,000 for Price, ₦200,000 for Place, ₦300,000 for Promotion

Correct Answer: A

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Question 5
A company has the following foreign trade data: Export revenue = ₦500,000, Import expenditure = ₦300,000, and a trade deficit of ₦100,000. Using the concept of comparative advantage, determine the optimal trade policy for the company.
Correct A. Increase exports by 20%
B. Decrease imports by 15%
C. Maintain current trade policy
D. Increase imports by 10%

Correct Answer: A

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Question 6
A firm specializes in producing a single product, which is a type of commodity. The firm's production function is given by the equation: Q = 2L^0.5 * K^0.5, where Q is the quantity produced, L is the labor input, and K is the capital input. If the firm wants to produce 100 units of the commodity, and it has 16 units of labor and 25 units of capital available, how many units of labor should it hire?
A. 8
B. 10
Correct C. 12
D. 16

Correct Answer: C

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Question 7
A company is considering two different production processes for producing a certain product. Process A requires an initial investment of ₦10 million and has a variable cost of ₦5 per unit produced. Process B requires an initial investment of ₦15 million and has a variable cost of ₦3 per unit produced. If the company wants to produce 10,000 units of the product, which process should it choose?
Correct A. Process A
B. Process B
C. Both processes are equally profitable
D. Neither process is profitable

Correct Answer: A

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Question 8
A firm is considering exporting its product to a foreign market. The firm's export price is 100 per unit, and the foreign market demand is given by the equation: Q = 100 - 2P, where Q is the quantity demanded and P is the price. If the firm wants to sell 50 units of the product in the foreign market, what price should it charge?
A. 50
Correct B. 75
C. 90
D. 100

Correct Answer: B

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Question 9
A company is considering two different warehouse locations for storing its inventory. Location A has a storage cost of ₦5 per unit per month, and Location B has a storage cost of ₦3 per unit per month. If the company has 10,000 units of inventory and wants to store it for 6 months, which location should it choose?
A. Location A
Correct B. Location B
C. Both locations are equally expensive
D. Neither location is suitable

Correct Answer: B

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Question 10
A firm is considering two different business units for producing a certain product. Business Unit A is a sole proprietorship, and Business Unit B is a partnership. If the firm wants to produce 10,000 units of the product, which business unit should it choose?
Correct A. Business Unit A
B. Business Unit B
C. Both business units are equally suitable
D. Neither business unit is suitable

Correct Answer: A

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Question 11
A company is accused of violating the Consumer Protection Act by selling a product that has a defect. The company claims that the defect was caused by a third-party supplier. What is the legal position of the company in this scenario?
A. The company is liable for the defect and must compensate the consumer.
B. The company is not liable for the defect as it was caused by a third-party supplier.
Correct C. The company must investigate the cause of the defect and take corrective action.
D. The company is not liable for the defect as it was a manufacturing defect.

Correct Answer: C

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Question 12
A Nigerian company exports goods to the United States. The company is required to comply with the regulations of the U.S. Customs and Border Protection. What is the name of the agreement that governs international trade between Nigeria and the United States?
Correct A. The African Growth and Opportunity Act (AGOA)
B. The Nigeria-U.S. Trade Agreement
C. The World Trade Organization (WTO) Agreement
D. The General Agreement on Tariffs and Trade (GATT)

Correct Answer: A

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Question 13
A bank offers a loan to a customer at an interest rate of 12% per annum. The loan is repayable in 5 years. What is the total interest paid by the customer over the 5-year period?
A. ₦12,000
Correct B. ₦15,000
C. ₦18,000
D. ₦20,000

Correct Answer: B

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Question 14
A company produces two products, X and Y, using two machines, A and B. The production process for product X requires 2 hours on machine A and 3 hours on machine B. The production process for product Y requires 3 hours on machine A and 2 hours on machine B. If the company has 12 hours of machine A time and 15 hours of machine B time available, how many units of product X and product Y can be produced?
Correct A. 10 units of X and 15 units of Y
B. 15 units of X and 10 units of Y
C. 20 units of X and 5 units of Y
D. 5 units of X and 20 units of Y

Correct Answer: A

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Question 15
A firm is considering two investment projects, A and B. Project A has a 5-year payback period and an internal rate of return (IRR) of 15%. Project B has a 3-year payback period and an IRR of 20%. Which project should the firm choose?
A. Project A
Correct B. Project B
C. Both projects are equally attractive
D. Neither project is attractive

Correct Answer: B

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Question 16
A sole trader's business is registered under the sole traders' register. What is the primary advantage of this registration?
A. Limited liability
B. Separate legal entity
Correct C. Easy to set up
D. No need for annual returns

Correct Answer: C

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Question 17
A company's articles of association state that the company must hold an annual general meeting. What is the purpose of this meeting?
A. To elect new directors
Correct B. To approve the company's financial statements
C. To appoint auditors
D. To make major changes to the company's constitution

Correct Answer: B

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Question 18
A bank's cash reserve ratio is 10%. If the bank has a cash reserve of ₦1,000,000, what is the maximum amount of loans it can give out?
Correct A. ₦9,000,000
B. ₦10,000,000
C. ₦11,000,000
D. ₦12,000,000

Correct Answer: A

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Question 19
A company's marketing strategy involves creating a new product line. What is the primary goal of this strategy?
Correct A. To increase sales revenue
B. To reduce production costs
C. To improve brand image
D. To enter new markets

Correct Answer: A

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Question 20
A warehouse's inventory management system uses the first-in, first-out (FIFO) method. What is the primary advantage of this method?
A. Reduced storage costs
Correct B. Improved inventory turnover
C. Increased accuracy of stock levels
D. Simplified inventory management

Correct Answer: B

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Question 21
A sole trader's business is registered under which of the following?
A. Company Registration Number
Correct B. Business Name Registration Number
C. Tax Identification Number
D. VAT Registration Number

Correct Answer: B

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Question 22
A company's Memorandum of Association is a document that contains the company's
A. Business Objectives
B. Share Capital Structure
C. Directors' Names and Addresses
Correct D. All of the above

Correct Answer: D

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Question 23
A warehouse's inventory management system uses the First-In-First-Out (FIFO) method to track stock levels. Which of the following is a benefit of using this method?
Correct A. Reduced Stock Obsolescence
B. Improved Stock Turnover
C. Increased Stock Levels
D. Decreased Stock Levels

Correct Answer: A

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Question 24
A company exports goods to a foreign country. Which of the following is a type of foreign trade?
A. Import
B. Export
C. Domestic Trade
Correct D. International Trade

Correct Answer: D

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Question 25
A company uses a Just-In-Time (JIT) inventory management system to track stock levels. Which of the following is a benefit of using this method?
A. Reduced Stock Levels
Correct B. Improved Stock Turnover
C. Increased Stock Obsolescence
D. Decreased Stock Turnover

Correct Answer: B

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