POST UTME UNILORIN 2017 Economics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A consumer has an indifference curve I_2 and a budget constraint with a price ratio of 3:2. If the consumer's income is ₦1200, what is the optimal bundle of goods (x, y) that maximizes utility?
A. \( x = 300, y = 600 \)
B. \( x = 600, y = 300 \)
C. \( x = 450, y = 450 \)
D. \( x = 150, y = 750 \)
Question 2
A firm's production function is given by Q = 3L^0.7K^0.3. If the price of the firm's product is P = 15, and the wage rate is W = 6, calculate the optimal level of labor (L) and capital (K) u\sing the first-order conditions for profit maximization.
A. \( L = 9, K = 9 \)
B. \( L = 6, K = 6 \)
C. \( L = 12, K = 12 \)
D. \( L = 3, K = 3 \)
Question 3
A country's money supply is given by M = 1000 + 0.5Y. If the country's GDP is 100 billion naira, what is the money supply?
A. 50,500,000,000
B. 50,500,000,000
C. 50,500,000,000
D. 50,500,000,000
Question 4
A firm's production function is given by Q = 2L^0.5K^0.5. If the price of the firm's product is P = 10, and the wage rate is W = 5, calculate the optimal level of labor (L) and capital (K) u\sing the first-order conditions for profit maximization.
A. \( L = 4, K = 4 \)
B. \( L = 2, K = 2 \)
C. \( L = 8, K = 8 \)
D. \( L = 1, K = 1 \)
Question 5
A firm's demand function is given by \( Q = 100 - 2P \). If the price of the good is ₦20, what is the quantity demanded?
A. 50
B. 60
C. 70
D. 80
Question 6
A consumer has the following utility function: U = 2x + 3y, where x and y are the quantities of two goods consumed. If the prices of the two goods are $2 and $3 respectively, and the consumer has a budget of $10, how many units of each good should the consumer buy?
A. x = 2, y = 1
B. x = 1, y = 2
C. x = 3, y = 0
D. x = 0, y = 3
Question 7
A firm is producing a good with the following production function: Q = 2L^2 + 3K^2, where Q is the quantity produced, L is the labor input, and K is the capital input. If the firm wants to produce 100 units of the good, and the price of labor is $10 per unit and the price of capital is $20 per unit, what is the total \cost of production?
A. $1000
B. $2000
C. $3000
D. $4000
Question 8
A firm operating in a perfectly competitive market is characterized by which of the following?
A. A \single price maker
B. Many buyers and sellers
C. A price setter
D. A monopolist
Question 9
Consider a firm operating in a perfectly competitive market with a given production function Q = 2L^0.5K^0.5. If the price of the firm's product is P = 10, and the wage rate is W = 5, calculate the optimal level of labor (L) and capital (K) u\sing the first-order conditions for profit maximization.
A. \( L = 4, K = 4 \)
B. \( L = 2, K = 2 \)
C. \( L = 8, K = 8 \)
D. \( L = 1, K = 1 \)
Question 10
A firm's \cost function is given by C = 2L + 3K. If the firm's labor (L) is 10 and its capital (K) is 5, what is the firm's total \cost?
A. 25
B. 30
C. 35
D. 40
Question 11
A government is considering a tax on a particular good. The supply curve of the good is given by Q = 2P + 5, and the demand curve is given by Q = 100 - 2P. If the government imposes a tax of $5 per unit, what is the new equilibrium price?
A. New equilibrium price is $10
B. New equilibrium price is $15
C. New equilibrium price is $20
D. New equilibrium price is $25
Question 12
A firm is considering two different production techno\logies. The first techno\logy has a fixed \cost of $100, a variable \cost of $10 per unit, and a revenue function of $20 per unit. The second techno\logy has a fixed \cost of $200, a variable \cost of $15 per unit, and a revenue function of $25 per unit. Which techno\logy should the firm choose if it expects to produce 100 units?
A. First techno\logy
B. Second techno\logy
C. Both techno\logies are equally profitable
D. Neither techno\logy is profitable
Question 13
A firm's revenue function is given by R(x) = 50x - 0.5x^2. If the firm produces 20 units of output, what is the total revenue?
A. 900
B. 950
C. 1000
D. 1050
Question 14
A monopolist faces a demand curve given by P = 100 - Q. The marginal revenue (MR) function is given by MR = 100 - 2Q. If the firm produces 20 units, what is the price?
A. 80
B. 90
C. 100
D. 110
Question 15
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's labor (L) is 16 and its capital (K) is 9, what is the firm's output level?
A. 12
B. 18
C. 24
D. 30

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