POST UTME VERITAS UNIVERSITY 2020 Economics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A firm's demand function is given by \( Q = 100 - 2P \), where ( Q ) is the quantity demanded and ( P ) is the price. If the firm's supply function is \( Q = 2P - 10 \), what is the equilibrium price and quantity?
A. Price: 20, Quantity: 30
B. Price: 30, Quantity: 40
C. Price: 40, Quantity: 50
D. Price: 50, Quantity: 60
Question 2
Consider a production function \( Q = f\( L, K \ \) ) where ( Q ) is the quantity of output, ( L ) is labor, and ( K ) is capital. If the marginal product of labor is \( MP_L = \frac{partial Q}{partial L} = 10 \) and the marginal product of capital is \( MP_K = \frac{partial Q}{partial K} = 5 \), what is the value of the elasticity of substitution between labor and capital?
A. 0.5
B. 1
C. 2
D. 3
Question 3
A firm's demand curve is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the firm's supply curve is given by the equation Qs = 2P - 100, what is the equilibrium price?
A. 20
B. 30
C. 40
D. 50
Question 4
A firm's production function is given by Q = 100L^0.5K^0.5. If the price of labor increases by 20% and the price of capital increases by 15%, calculate the new value of the marginal product of capital.
A. 10
B. 12
C. 15
D. 18
Question 5
A firm's production function is given by Q = 100L^0.5K^0.5. If the price of labor increases by 20% and the price of capital increases by 15%, calculate the new value of the marginal product of labor.
A. 10
B. 12
C. 15
D. 18
Question 6
A firm's demand for labor is given by the equation L = 100 - 2W, where W is the wage rate. If the firm's supply of labor is given by L = 2W - 10, find the equilibrium wage rate and quantity of labor.
A. ₦20, 40 units
B. ₦30, 30 units
C. ₦40, 20 units
D. ₦50, 10 units
Question 7
A firm's revenue function is given by R(x) = 2x^2 + 10x. If the firm's marginal revenue function is MR(x) = 4x + 10, what is the value of x that maximizes revenue?
A. 1
B. 2
C. 3
D. 4
Question 8
A consumer's utility function is given by U = 2x + 3y, where x and y are the quantities of two goods. If the prices of the goods are $2 and $3 respectively, and the consumer has a budget of $10, what is the optimal bundle of goods?
A. (2, 2)
B. (4, 1)
C. (1, 3)
D. (3, 2)
Question 9
A country's GDP is 100 billion naira. If the country's GNP is 120 billion naira, calculate the value of the net factor income from abroad.
A. 10 billion naira
B. 20 billion naira
C. 30 billion naira
D. 40 billion naira
Question 10
A firm's production function is given by \( Q = 2L^2 + 3K \), where ( Q ) is the quantity of output, ( L ) is labor, and ( K ) is capital. If the firm's \cost function is \( C = 10L + 20K \), what is the firm's profit-maximizing level of labor and capital?
A. \( L = 2, K = 3 \)
B. \( L = 3, K = 2 \)
C. \( L = 4, K = 1 \)
D. \( L = 1, K = 4 \)
Question 11
A firm's \cost function is given by C = 2L + 3K, where L is labor and K is capital. If the firm's revenue function is given by R = 10L + 5K, what is the profit-maximizing level of labor?
A. 5
B. 10
C. 15
D. 20
Question 12
A country's balance of payments (BOP) is given by the equation BOP = X - M, where X is the value of exports and M is the value of imports. If the country's exports are $100 million and its imports are $120 million, what is the value of BOP?
A. -20
B. 0
C. 20
D. 40
Question 13
A monopolist faces a demand curve given by Qd = 100 - 2P and a \cost function given by C = 200 + 2Q. Find the profit-maximizing price and quantity.
A. ₦250, 400 units
B. ₦300, 500 units
C. ₦350, 600 units
D. ₦400, 700 units
Question 14
A firm's production function is given by Q = 2L^0.5K^0.5, where Q is output, L is labor, and K is capital. If the firm wants to produce 100 units of output, and the wage rate is $10 per hour and the rental rate is $20 per unit of capital, what is the optimal combination of labor and capital?
A. L = 10, K = 20
B. L = 20, K = 10
C. L = 15, K = 15
D. L = 25, K = 5
Question 15
U\sing the concept of opportunity \cost, explain why a country may choose to specialize in the production of a particular good even if it is not the most efficient producer of that good.
A. Because the country has a comparative advantage in the production of the good.
B. Because the country has a absolute advantage in the production of the good.
C. Because the country is the most efficient producer of the good.
D. Because the country has a fixed exchange rate.

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