POST UTME SKYLINE UNIVERSITY 2018 Economics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
Consider a perfectly competitive market with n firms, each producing a homogeneous product. If the market demand curve is downward sloping and the firms are price takers, what is the equilibrium price and quantity of the product?
A. \( P = 10, Q = 100 \)
B. \( P = 20, Q = 50 \)
C. \( P = 15, Q = 75 \)
D. \( P = 25, Q = 40 \)
Question 2
Consider a firm operating in a perfectly competitive market. If the market demand curve is given by Qd = 100 - 2P, and the marginal revenue (MR) is given by MR = 200 - 2Q, what is the relationship between the marginal revenue product (MRP) and the marginal product (MP)?
A. MRP = MP
B. MRP > MP
C. MRP < MP
D. MRP = -MP
Question 3
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 is ₦20, find the quantity demanded.
A. Qd = 80
B. Qd = 60
C. Qd = 40
D. Qd = 20
Question 4
A firm has a production function Q = 2L + 3K, where L is labor and K is capital. If the firm's output is 100 units and the price of output is ₦10 per unit, what is the minimum \cost of production?
A. ₦500
B. ₦600
C. ₦700
D. ₦800
Question 5
A country's GDP is ₦1,000,000,000. If the country's population is 20 million, what is the per capita income?
A. ₦50
B. ₦100
C. ₦200
D. ₦500
Question 6
A consumer's budget constraint is given by 2x + 3y = 12, where x is the number of units of good X and y is the number of units of good Y. If the consumer's utility function is U(x,y) = 2x + 3y, find the optimal values of x and y.
A. x = 2, y = 4
B. x = 3, y = 3
C. x = 4, y = 2
D. x = 5, y = 1
Question 7
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's labor (L) increases by 10% and capital (K) remains cons\tant, what will be the percentage change in output?
A. 5%
B. 10%
C. 15%
D. 20%
Question 8
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 of x and y?
A. x = 40, y = 60
B. x = 60, y = 40
C. x = 80, y = 20
D. x = 20, y = 80
Question 9
A monopolist's demand curve is given by \( p = 100 - 2q \). If the firm's marginal \cost function is (MC(q) = 10), what is the monopolist's profit-maximizing quantity?
A. \( q = 20 \)
B. \( q = 30 \)
C. \( q = 25 \)
D. \( q = 35 \)
Question 10
A consumer's utility function is given by (U(x, y) = 2x + 3y). If the consumer's budget constraint is \( 2x + 3y = 100 \), what is the consumer's optimal bundle of x and y?
A. \( x = 20, y = 30 \)
B. \( x = 30, y = 20 \)
C. \( x = 25, y = 25 \)
D. \( x = 35, y = 15 \)
Question 11
A central bank implements a monetary policy by increa\sing the reserve requirement for commercial banks. What is the effect of this policy on the money supply?
A. Increases the money supply
B. Decreases the money supply
C. Has no effect on the money supply
D. Increases the interest rate
Question 12
Consider a firm operating in a perfectly competitive market with a downward-sloping demand curve. If the firm's marginal revenue (MR) is greater than its marginal \cost (MC), what will be the effect on the firm's output?
A. The firm will increase its output.
B. The firm will decrease its output.
C. The firm's output will remain unchanged.
D. The firm will exit the market.
Question 13
A firm's demand function is Q = 100 - 2P, where Q is quantity demanded and P is price. If the firm's revenue is ₦1000, what is the price elasticity of demand?
A. -1
B. -2
C. -3
D. -4
Question 14
A firm's revenue function is given by R(x) = 2x^2 + 5x + 1, where x is the number of units produced. If the firm's marginal revenue function is MR(x) = 4x + 5, find the value of x that maximizes revenue.
A. 1
B. 2
C. 3
D. 4
Question 15
A firm's revenue function is given by R(q) = 3q^2 - 2q + 1. Find the firm's marginal revenue (MR) when q = 5.
A. MR = 15
B. MR = 20
C. MR = 25
D. MR = 30

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