POST UTME OSUSTECH 2018 Economics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A firm is considering increa\sing its production of a good, but it is concerned about the potential increase in its \costs. U\sing the concept of returns to scale, explain why the firm might choose to increase production, even if it means increa\sing its \costs.
A. The firm expects the demand for the good to be inelastic, meaning that a small increase in price will not lead to a significant decrease in quantity demanded.
B. The firm expects the demand for the good to be elastic, meaning that a small increase in price will lead to a significant decrease in quantity demanded.
C. The firm expects the demand for the good to be unit elastic, meaning that a small increase in price will lead to a small decrease in quantity demanded.
D. The firm expects the demand for the good to be perfectly inelastic, meaning that a small increase in price will not lead to a change in quantity demanded.
Question 2
A monopolist faces a demand curve given by P = 100 - 2Q, where P is price and Q is quantity. If the marginal \cost is ₦50, what is the optimal quantity produced?
A. 20 units
B. 30 units
C. 40 units
D. 50 units
Question 3
A consumer's indifference curve is steeper than another consumer's indifference curve. This implies that the first consumer
A. has a higher marginal rate of substitution
B. has a lower marginal rate of substitution
C. has a higher income
D. has a lower income
Question 4
A firm has a production function Q = 2L^0.5K^0.5, where L and K are labor and capital respectively. If the firm's \cost function is given by C(L, K) = 2L + 3K, find the optimal values of L and K u\sing the method of Lagrange multipliers.
A. L = 4, K = 9
B. L = 9, K = 4
C. L = 2, K = 6
D. L = 6, K = 2
Question 5
A monopolistically competitive firm faces a demand curve with the equation \( p = 100 - 2q \). If the firm's marginal \cost is \( MC = 20 \), and the firm is currently producing \( q = 20 \) units, what is the firm's profit-maximizing price?
A. ₦80
B. ₦90
C. ₦100
D. ₦110
Question 6
Consider a consumer with a utility function U(x, y) = 2x^0.5y^0.5. If the consumer's budget constraint is given by 2x + 3y = 12, find the optimal values of x and y u\sing the method of Lagrange multipliers.
A. x = 2, y = 4
B. x = 4, y = 2
C. x = 3, y = 3
D. x = 1, y = 6
Question 7
A country's balance of payments accounts are in equilibrium when the current account and capital account are equal. This implies that the country's
A. current account is in surplus
B. current account is in deficit
C. capital account is in surplus
D. capital account is in deficit
Question 8
Consider a country with a trade balance of $100 million and a current account surplus of $50 million. If the country's exchange rate is currently 1 USD = 100 Naira, find the value of the Naira in terms of the USD.
A. 1 USD = 120 Naira
B. 1 USD = 150 Naira
C. 1 USD = 180 Naira
D. 1 USD = 200 Naira
Question 9
A firm's production function is given by Q = 2L^2 + 3K^2, where Q is the output, L is the labor, and K is the capital. If the firm's output is 100 units, find the labor and capital required.
A. L = 5, K = 5
B. L = 10, K = 5
C. L = 5, K = 10
D. L = 10, K = 10
Question 10
At the point of equilibrium, the law of supply and demand dictates that the quantity supplied equals the quantity demanded. However, if the demand for a product increases, and the supply remains cons\tant, what will be the effect on the equilibrium price?
A. The equilibrium price will decrease.
B. The equilibrium price will increase.
C. The equilibrium price will remain unchanged.
D. The equilibrium price will fluctuate.
Question 11
A monopolist faces a demand curve given by P = 100 - 2Q, where P is price and Q is quantity. If the marginal \cost is ₦50, what is the optimal quantity produced?
A. 20 units
B. 30 units
C. 40 units
D. 50 units
Question 12
A country's balance of payments is in equilibrium when its current account is equal to its capital account. If the country's current account surplus is $100 million and its capital account deficit is $50 million, what is the net effect on the country's balance of payments?
A. The balance of payments will improve.
B. The balance of payments will deteriorate.
C. The balance of payments will remain unchanged.
D. The balance of payments will fluctuate.
Question 13
Consider a production function given by Q = 100K^\( 1/2 \)L^\( 1/2 \), where Q is output, K is capital, and L is labor. If the marginal product of labor is 20, and the wage rate is ₦200 per unit of labor, what is the optimal level of labor?
A. 50 units
B. 100 units
C. 200 units
D. 500 units
Question 14
A firm has a production function Q = 2L^0.5K^0.5, where L and K are labor and capital respectively. If the firm's \cost function is given by C(L, K) = 2L + 3K, find the optimal values of L and K u\sing the method of Lagrange multipliers.
A. L = 4, K = 9
B. L = 9, K = 4
C. L = 2, K = 6
D. L = 6, K = 2
Question 15
A firm's production function is given by \( Q = 100K^{\frac{1}{2}}L^{\frac{1}{2}} \). If the firm's output is 100 units, and the firm's labor input is 4 units, what is the firm's capital input?
A. 2 units
B. 4 units
C. 6 units
D. 8 units

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