POST UTME RHEMA UNIVERSITY 2022 Commerce | Objective

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Question 1
A firm's production function is given by Q = 2L^0.4K^0.3, where Q is output, L is labor, and K is capital. If the firm wants to increase output by 20% while keeping labor constant, by what percentage should it increase capital?
A. 10%
Correct B. 20%
C. 30%
D. 40%

Correct Answer: B

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Question 2
A consumer has a utility function U(x,y) = 2x + 3y, where x is the quantity of good X and y is the quantity of good Y. If the consumer's income is ₦1000 and the prices of good X and good Y are ₦5 and ₦3 respectively, how many units of good X should the consumer buy?
A. 100
B. 120
Correct C. 150
D. 180

Correct Answer: C

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Question 3
A firm's cost function is given by C(L,K) = 2L + 3K, where C is cost, L is labor, and K is capital. If the firm wants to minimize cost while producing 100 units of output, and the wage rate is ₦10 per unit of labor and the rental rate is ₦5 per unit of capital, what is the optimal combination of labor and capital?
A. L = 10, K = 20
Correct B. L = 20, K = 10
C. L = 30, K = 15
D. L = 15, K = 30

Correct Answer: B

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Question 4
A consumer has a budget constraint of ₦1000 and a utility function U(x,y) = 2x + 3y, where x is the quantity of good X and y is the quantity of good Y. If the prices of good X and good Y are ₦5 and ₦3 respectively, what is the consumer's optimal bundle of goods?
A. x = 100, y = 150
Correct B. x = 150, y = 100
C. x = 200, y = 50
D. x = 50, y = 200

Correct Answer: B

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Question 5
A firm's production function is given by Q = 2L^0.4K^0.3, where Q is output, L is labor, and K is capital. If the firm wants to increase output by 20% while keeping labor constant, by what percentage should it increase capital?
A. 10%
Correct B. 20%
C. 30%
D. 40%

Correct Answer: B

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Question 6
The concept of comparative advantage in international trade is based on the idea that countries should specialize in producing goods for which they have a lower opportunity cost compared to other countries. Which of the following is a correct example of comparative advantage?
A. Country A produces 100 units of wheat and 50 units of cloth, while Country B produces 50 units of wheat and 100 units of cloth.
Correct B. Country A produces 100 units of wheat and 50 units of cloth, while Country B produces 50 units of wheat and 150 units of cloth.
C. Country A produces 100 units of wheat and 50 units of cloth, while Country B produces 150 units of wheat and 100 units of cloth.
D. Country A produces 100 units of wheat and 50 units of cloth, while Country B produces 50 units of wheat and 50 units of cloth.

Correct Answer: B

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Question 7
A firm's break-even point is the point at which its total revenue equals its total fixed costs. Which of the following is a correct formula for calculating the break-even point?
Correct A. BEQ = (Fixed Costs) / (Selling Price - Variable Costs)
B. BEQ = (Fixed Costs + Variable Costs) / Selling Price
C. BEQ = (Selling Price - Variable Costs) / Fixed Costs
D. BEQ = (Fixed Costs) / (Selling Price + Variable Costs)

Correct Answer: A

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Question 8
A warehouse manager wants to store 1000 units of goods in a warehouse with a capacity of 5000 units. The manager wants to maximize storage space while minimizing the number of shelves required. Which of the following storage arrangements would achieve this goal?
A. Storing the goods in a single layer on the floor
B. Storing the goods in a single layer on shelves
Correct C. Storing the goods in multiple layers on shelves
D. Storing the goods in a vertical stack

Correct Answer: C

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Question 9
A firm's cash flow statement shows a net increase in cash of ₦100,000. Which of the following is a correct interpretation of this information?
A. The firm has generated ₦100,000 in revenue
B. The firm has invested ₦100,000 in assets
C. The firm has paid ₦100,000 in dividends
Correct D. The firm has increased its cash balance by ₦100,000

Correct Answer: D

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Question 10
A logistics company wants to transport goods from a warehouse to a customer's location. The distance between the warehouse and the customer's location is 100 km. The company has a fleet of trucks with an average speed of 60 km/h. Which of the following is a correct formula for calculating the time required to transport the goods?
Correct A. Time = Distance / Speed
B. Time = Speed / Distance
C. Time = (Distance x Speed) / 2
D. Time = (Distance + Speed) / 2

Correct Answer: A

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Question 11
The Consumer Protection Act of 1999 provides for the establishment of the National Consumer Protection Agency. What is the primary function of this agency?
Correct A. To investigate consumer complaints and take enforcement action against erring businesses
B. To provide education and awareness programs for consumers on their rights and responsibilities
C. To regulate the activities of businesses and ensure compliance with consumer protection laws
D. To provide compensation to consumers who have suffered losses due to business malpractices

Correct Answer: A

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Question 12
A company is registered under the Companies and Allied Matters Act (CAMA) 2020. What is the minimum number of directors required for a private company?
A. 1
Correct B. 2
C. 3
D. 4

Correct Answer: B

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Question 13
A sole trader has a business income of ₦500,000 and expenses of ₦300,000. What is the profit before tax?
A. ₦100,000
Correct B. ₦200,000
C. ₦300,000
D. ₦400,000

Correct Answer: B

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Question 14
A bank offers a loan of ₦1,000,000 at an interest rate of 12% per annum. What is the annual interest payable?
Correct A. ₦120,000
B. ₦150,000
C. ₦180,000
D. ₦200,000

Correct Answer: A

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Question 15
A firm produces 100 units of a product per day. If the production cost is ₦500 per unit, what is the total cost of production for a day?
A. ₦50,000
B. ₦75,000
Correct C. ₦100,000
D. ₦125,000

Correct Answer: C

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Question 16
In a warehouse management system, the average inventory level is calculated using the formula: ( ext{Average Inventory Level} = rac{ ext{Total Inventory Value}}{ ext{Number of Stock Items}} ). If the total inventory value is ₦1,500,000 and there are 250 stock items, what is the average inventory level?
A. ₦6,000
Correct B. ₦6,250
C. ₦6,500
D. ₦6,750

Correct Answer: B

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Question 17
A company uses a just-in-time (JIT) inventory system to manage its stock levels. In this system, inventory is ordered and received just in time to meet customer demand. What is the primary advantage of using a JIT inventory system?
A. Reduced inventory costs
B. Improved customer satisfaction
Correct C. Increased inventory turnover
D. Reduced production costs

Correct Answer: C

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Question 18
A marketing manager is responsible for launching a new product in the market. The product is a premium item with a high price point. Which of the following marketing strategies would be most effective in promoting the product?
A. Social media marketing
Correct B. Influencer marketing
C. Content marketing
D. Event marketing

Correct Answer: B

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Question 19
A company is considering outsourcing its production to a contract manufacturer. What are the primary benefits of outsourcing production?
Correct A. Reduced production costs
B. Improved product quality
C. Increased flexibility
D. Reduced inventory levels

Correct Answer: A

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Question 20
A logistics company is responsible for transporting goods from a warehouse to a customer. The company uses a transportation management system (TMS) to manage its transportation operations. What is the primary benefit of using a TMS?
Correct A. Improved transportation efficiency
B. Reduced transportation costs
C. Increased transportation capacity
D. Improved customer satisfaction

Correct Answer: A

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Question 21
In a competitive market, a firm's demand curve is downward sloping. If the firm increases its price, what will happen to its revenue?
A. Revenue will increase
Correct B. Revenue will decrease
C. Revenue will remain the same
D. Revenue will fluctuate

Correct Answer: B

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Question 22
A company's marketing strategy involves creating a new product line. Which of the following is a key benefit of product diversification?
A. Reduced competition
B. Increased market share
C. Improved brand image
Correct D. Risk reduction

Correct Answer: D

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Question 23
A consumer protection agency is investigating a complaint about a company's unfair business practices. Which of the following is a key principle of consumer protection law?
A. Consumer sovereignty
B. Fair competition
Correct C. Transparency
D. Consumer education

Correct Answer: C

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Question 24
A bank is considering a loan application from a small business owner. Which of the following is a key factor in the bank's decision-making process?
Correct A. Creditworthiness
B. Collateral
C. Market demand
D. Government subsidies

Correct Answer: A

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Question 25
A company is planning to launch a new product in a foreign market. Which of the following is a key consideration in the company's market research?
Correct A. Cultural differences
B. Language barriers
C. Economic conditions
D. Political stability

Correct Answer: A

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