POST UTME BOWEN UNIVERSITY 2024 Commerce | Objective
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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 = √(2DS/H), where Q is the optimal order quantity, D is the annual demand, S is the ordering cost per order, and H is the holding cost per unit. If the annual demand is 10,000 units, the ordering cost per order is ₦500, and the holding cost per unit is ₦20, calculate the optimal order quantity.
Question 2
A firm is considering expanding its production capacity. The firm's production function is given by ( Q = 2L^0.5K^{0.25} ), where Q is the quantity produced, L is the labor input, and K is the capital input. The firm has 100 units of labor and 150 units of capital. What is the marginal product of labor?
Question 3
A company's stock control system uses the First-In-First-Out (FIFO) method to determine the cost of goods sold. The company has the following inventory levels: 100 units at ₦10 each, 200 units at ₦20 each, and 300 units at ₦30 each. If the company sells 500 units, what is the total cost of goods sold?
Question 4
A consumer protection agency receives a complaint from a customer who purchased a product online. The customer alleges that the product was not as described and that the seller failed to provide a refund. The agency needs to determine whether the seller breached the Consumer Protection Act. Which of the following is a key provision of the Consumer Protection Act that the agency should consider?
Question 5
A company is considering the introduction of a new production process. The process has a high potential for efficiency, but it also carries a high level of risk. What type of production process is this?
Question 6
A bank is considering the introduction of a new loan product. The product has a high interest rate, but it also has a low risk of default. What type of loan product is this?
Question 7
A firm's revenue function is given by the equation R = 2Q - 3, where R is the total revenue and Q is the quantity produced. If the firm produces 20 units, what is the total revenue?
Question 8
A company's insurance policy covers losses due to fire, theft, and natural disasters. The policy has a deductible of ₦50,000 and a premium of ₦200,000 per year. If the company suffers a loss of ₦150,000 due to fire, how much will the insurance company pay?
Question 9
A sole trader has a business income of 100,000 and a business expense of 80,000. What is the sole trader's business profit?
Question 10
A sole trader has a business income of ₦500,000 and expenses of ₦300,000. What is the sole trader's profit before tax?
Question 11
A company is considering a new marketing strategy to increase sales. The strategy involves offering a discount of 15% on all products. However, the company also wants to ensure that the average revenue per customer does not decrease. If the current average revenue per customer is ₦1,500, what is the minimum price at which the company must sell each product to maintain the average revenue per customer?
Question 12
A life insurance policy has a premium of ₦10,000 per annum. If the policyholder dies after 5 years, what is the benefit payment to the beneficiary?
Question 13
The diagram below represents a production possibility frontier. If the economy is currently at point A, which of the following is a consequence of a shift to point B?
Question 14
A sole trader's business is considered a separate legal entity from its owner. Discuss the implications of this separation on the owner's personal liability.
Question 15
A company is considering a new production strategy to increase efficiency. The strategy involves implementing a just-in-time inventory system. If the company currently holds an average inventory of 5,000 units and the cost of holding inventory is ₦500 per unit per month, what is the total cost of holding inventory?
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