POST UTME LAUTECH 2025 Economics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's labor (L) increases by 10% and its capital (K) remains cons\tant, what will be the effect on its output?
A. Output will increase by 10%
B. Output will increase by 20%
C. Output will remain unchanged
D. Output will decrease by 10%
Question 2
A country's GNP is ₦15 trillion, its GDP is ₦12 trillion, and its net factor income from abroad is ₦1 trillion. What is its national income?
A. ₦16 trillion
B. ₦17 trillion
C. ₦18 trillion
D. ₦19 trillion
Question 3
A firm's \cost function is given by the equation C(x) = 100 + 2x^2, where C(x) is the total \cost and x is the number of units produced. If the firm's revenue function is given by the equation R(x) = 100x - 2x^2, what is the firm's profit function?
A. R(x) - C(x)
B. C(x) - R(x)
C. R(x) + C(x)
D. C(x) - 2R(x)
Question 4
A firm's demand function is Q = 100 - 2P, where Q is quantity demanded and P is price. If the firm's current price is ₦20, how many units will it sell?
A. 20 units
B. 40 units
C. 60 units
D. 80 units
Question 5
Consider a firm with a production function Q = 2L^0.5K^0.5, where Q is output, L is labor, and K is capital. If the firm's current input prices are w = ₦100 per unit of labor and r = ₦200 per unit of capital, and the firm's current output price is p = ₦500 per unit, calculate the firm's current profit-maximizing input combination.
A. L = 4, K = 4
B. L = 8, K = 2
C. L = 2, K = 8
D. L = 16, K = 1
Question 6
A firm is producing a good u\sing a production function given by Q = 2L^0.5K^0.5. If the firm has 100 units of Labour and 200 units of Capital, what is the value of the marginal product of Capital?
A. 0.5
B. 1.0
C. 1.5
D. 2.0
Question 7
A country's elasticity of demand is given by the equation E = \( ΔQd / ΔP \) × \( P / Qd \), where E is the elasticity of demand, ΔQd is the change in quantity demanded, ΔP is the change in price, P is the price, and Qd is the quantity demanded. If the country's demand curve is given by the equation Qd = 100 - 2P, what is the elasticity of demand when P = ₦30 and Qd = 40?
A. 0.5
B. 1.0
C. 1.5
D. 2.0
Question 8
A consumer has the following utility function: U = 2x^0.5y^0.5. If the prices of x and y are $2 and $3 respectively, and the consumer has an income of $100, what is the optimal bundle of x and y that the consumer will choose?
A. x = 10, y = 20
B. x = 20, y = 10
C. x = 15, y = 15
D. x = 5, y = 25
Question 9
A country is experiencing a trade deficit of $100 million. If the exchange rate is 1 USD = 100 Naira, what is the equivalent trade deficit in Naira?
A. ₦10 billion
B. ₦15 billion
C. ₦20 billion
D. ₦25 billion
Question 10
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 11
A firm produces two goods, X and Y, u\sing two inputs, Labour (L) and Capital (K). The production function for good X is given by X = 2L^0.5K^0.5, while that for good Y is given by Y = 3L^0.25K^0.75. If the firm has 100 units of Labour and 200 units of Capital, what is the value of the elasticity of substitution between Labour and Capital?
A. 0.5
B. 1.0
C. 1.5
D. 2.0
Question 12
A government is considering a tax on a good that is currently untaxed. If the tax is set at 10% of the good's price, and the demand for the good is elastic, what will happen to the quantity demanded?
A. Increase
B. Decrease
C. No change
D. Uncertain
Question 13
A country's GDP is ₦100 billion, its imports are ₦20 billion, and its exports are ₦15 billion. What is its net foreign exchange earnings?
A. ₦5 billion
B. ₦10 billion
C. ₦15 billion
D. ₦20 billion
Question 14
A firm operates in a perfectly competitive market with a demand curve given by Q = 100 - 2P and a supply curve given by Q = 10 + 3P. What is the equilibrium price and quantity?
A. P = 20, Q = 60
B. P = 30, Q = 40
C. P = 40, Q = 20
D. P = 50, Q = 10
Question 15
U\sing the Marshall-Lerner condition, determine the effect of a 10% depreciation in the exchange rate on the balance of payments of a country.
A. The balance of payments will improve.
B. The balance of payments will worsen.
C. The balance of payments will remain unchanged.
D. The effect on the balance of payments is uncertain.

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