POST UTME UI 2023 Economics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A firm's \cost function is given by C(x) = 2x^2 + 3x. If the firm produces 10 units of output, what is the total \cost of production?
A. ₦150
B. ₦200
C. ₦250
D. ₦300
Question 2
A country's balance of payments account shows a trade deficit of $15 billion and a current account deficit of $8 billion. What is the country's capital account balance?
A. $7 billion
B. $8 billion
C. $9 billion
D. $10 billion
Question 3
A country's balance of payments is given by the following table:\n\n| Category | 2020 | 2021 | 2022 |\n| --- | --- | --- | --- |\n| Exports | 100 | 120 | 140 |\n| Imports | 80 | 100 | 120 |\n| Net Factor Income | 10 | 15 | 20 |\n| Net Transfer | 5 | 10 | 15 |\n| Balance of Payments | ? | ? | ? |\n\nWhat is the balance of payments for 2022?
A. \( 140 - 120 + 20 + 15 = 55 \)
B. \( 140 - 120 + 20 + 15 = 55 \)
C. \( 140 - 120 + 20 + 15 = 55 \)
D. \( 140 - 120 + 20 + 15 = 55 \)
Question 4
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 good is P = 10, and the wage rate is W = 5, what is the optimal level of labor (L) that the firm should employ, given that the firm's objective is to maximize profits?
A. 10
B. 20
C. 30
D. 40
Question 5
A consumer has the following utility function: U = 2x + 3y. The prices of the two goods are P_x = 2 and P_y = 3. The consumer's income is I = 20. U\sing the budget constraint, find the optimal levels of x and y that the consumer should consume.
A. x = 4, y = 2
B. x = 6, y = 1
C. x = 8, y = 0
D. x = 10, y = -1
Question 6
In the context of agricultural industrialization in Nigeria, what is the primary factor driving the growth of the agricultural sector?
A. Government policies and incentives
B. Market demand and prices
C. Techno\logical advancements and mechanization
D. Climate change and environmental factors
Question 7
A farmer is considering two different irrigation systems for her farm. System A \costs ₦100,000 and has a 10% chance of failure, while System B \costs ₦150,000 and has a 5% chance of failure. What is the expected value of the \cost of each system?
A. ₦105,000
B. ₦120,000
C. ₦130,000
D. ₦140,000
Question 8
A firm's demand function is given by Qd = 100 - 2P, and its supply function is Qs = 2P - 10. If the market equilibrium price is $5, what is the quantity demanded?
A. 50 units
B. 60 units
C. 70 units
D. 80 units
Question 9
A firm's revenue function is given by R = 100PQ, where R is revenue, P is price, and Q is quantity. If the price and quantity are increased by 10% and 5% respectively, what is the percentage change in revenue?
A. 5%
B. 8%
C. 10%
D. 12%
Question 10
A monopolist is producing a good with a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 2Q^2 + 10Q. What is the firm's profit-maximizing quantity?
A. 50 units
B. 75 units
C. 100 units
D. 125 units
Question 11
A firm is producing a good with a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 2Q^2 + 10Q. What is the firm's profit-maximizing price?
A. ₦20
B. ₦30
C. ₦40
D. ₦50
Question 12
A firm's production function is given by \( Q = 2L^2 + 3K^2 \). If the firm's output is 100 and the price of labor is 10, what is the firm's optimal level of capital?
A. \( K = 10 \)
B. \( K = 15 \)
C. \( K = 20 \)
D. \( K = 25 \)
Question 13
A country's export supply function is given by X = 100 + 2P - 3Y, where X is exports, P is price, and Y is income. If the price and income are increased by 10% and 5% respectively, what is the percentage change in exports?
A. 5%
B. 8%
C. 10%
D. 12%
Question 14
A firm's \cost function is given by C(x) = 2x^2 + 10x + 5. If the firm's revenue function is R(x) = 20x - x^2, what is the break-even point?
A. 5 units
B. 10 units
C. 15 units
D. 20 units
Question 15
A firm is producing a good with a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 2Q^2 + 10Q. What is the firm's profit-maximizing price?
A. ₦20
B. ₦30
C. ₦40
D. ₦50

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