POST UTME BELLS UNIVERSITY 2022 Economics | Objective

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Question 1
A country's inflation rate is given by the equation π = \( P_t - P_{t-1} \) / P_{t-1} * 100. If the country's current price index is 120 and the previous price index is 100, what is the country's inflation rate?
A. 20%
B. 25%
C. 30%
D. 35%
Question 2
The elasticity of demand is a measure of how responsive the quantity demanded of a good is to changes in its price. Which of the following is an example of a good with a high elasticity of demand?
A. A luxury good
B. A necessity good
C. A good with a high income elasticity of demand
D. A good with a low income elasticity of demand
Question 3
Suppose the demand for a product is given by \( Q_d = 100 - 2P \) and the supply is given by \( Q_s = 2P - 10 \). What is the equilibrium price and quantity?
A. P = 20, Q = 30
B. P = 30, Q = 40
C. P = 40, Q = 50
D. P = 50, Q = 60
Question 4
Consider a firm operating in a perfectly competitive market with a production function Q = 2L^0.5K^0.5. If the firm's current input prices are w = 10 and r = 20, and it currently employs 4 units of labor and 2 units of capital, calculate the firm's current output and the returns to scale.
A. Q = 8, Decrea\sing Returns to Scale
B. Q = 16, Increa\sing Returns to Scale
C. Q = 4, Cons\tant Returns to Scale
D. Q = 2, Decrea\sing Returns to Scale
Question 5
U\sing the concept of supply and demand, explain why a price ceiling may lead to a shortage in the market.
A. A price ceiling may lead to a shortage in the market because it restricts the supply of a good.
B. A price ceiling may lead to a shortage in the market because it increases the demand for a good.
C. A price ceiling may lead to a shortage in the market because it has no effect on the supply and demand of a good.
D. A price ceiling may lead to a shortage in the market because it decreases the demand for a good.
Question 6
A firm is considering investing in a new project that has a net present value (NPV) of ₦1.5 million and a payback period of 2 years. If the firm's \cost of capital is 10%, calculate the internal rate of return (IRR) of the project.
A. IRR = 12%
B. IRR = 15%
C. IRR = 18%
D. IRR = 20%
Question 7
A firm's demand function is given by the equation Q = 100 - 2P. If the firm's price is ₦20, what is the firm's quantity demanded?
A. Q = 80
B. Q = 60
C. Q = 40
D. Q = 20
Question 8
A firm has a demand curve given by Q = 100 - 2P and a marginal \cost curve given by MC = 5. If the firm produces 20 units of the good, what is the profit?
A. ₦1,000
B. ₦2,000
C. ₦3,000
D. ₦4,000
Question 9
The opportunity \cost of a choice is the value of the next best alternative that is given up when a choice is made. Which of the following is an example of opportunity \cost?
A. The \cost of producing a good
B. The value of a good that is not produced
C. The \cost of a good that is not consumed
D. The value of a good that is consumed
Question 10
The demand for a product is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the price elasticity of demand is 0.5, what is the price at which the quantity demanded is 60?
A. ₦20
B. ₦30
C. ₦40
D. ₦50
Question 11
A monopolist produces a good with a cons\tant marginal \cost of ₦5 and a demand curve given by Q = 100 - 2P. If the monopolist produces 20 units of the good, what is the consumer surplus?
A. ₦1,000
B. ₦2,000
C. ₦3,000
D. ₦4,000
Question 12
A firm's production function is given by \( Q = 2K^{\frac{1}{2}}L^{\frac{1}{2}} \). If the marginal product of capital is 10, what is the value of the marginal product of labor?
A. 5
B. 10
C. 15
D. 20
Question 13
A consumer's indifference curve is given by the equation u(x,y) = 2x + 3y. If the consumer's income is ₦1000 and the prices of x and y are ₦5 and ₦3 respectively, what is the consumer's optimal bundle?
A. x = 40, y = 20
B. x = 30, y = 30
C. x = 20, y = 40
D. x = 10, y = 50
Question 14
A firm is producing a product with a total revenue of ₦1,500 and a total \cost of ₦1,200. If the price elasticity of demand is 0.8, what is the price at which the firm should produce the product?
A. ₦10
B. ₦12
C. ₦15
D. ₦18
Question 15
A firm has a production function given by Q = 2L + 3K, where L is labor and K is capital. If the firm uses 10 units of labor and 5 units of capital, what is the marginal product of labor?
A. 2
B. 3
C. 4
D. 5

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