POST UTME NOUN 2024 Economics | Objective

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Question 1
A monopolist faces a demand curve given by the equation \( p = 100 - 2q \). The firm's marginal \cost is ₦50. What is the monopolist's profit-maximizing quantity?
A. 50 units
B. 75 units
C. 100 units
D. 125 units
Question 2
A country's GDP is given by the equation Y = C + I + G. If the country's consumption function is C = 100 + 0.8Y, the investment function is I = 200 + 0.2Y, and government sp\ending is G = 500, find the country's equilibrium GDP.
A. ₦1000
B. ₦1500
C. ₦2000
D. ₦2500
Question 3
A firm has a production function F(Q) = 2Q^2 + 5Q. The price of the good is ₦100. Find the firm's profit-maximizing quantity and revenue.
A. 25 units, ₦2500
B. 50 units, ₦5000
C. 75 units, ₦7500
D. 100 units, ₦10000
Question 4
Consider a country with a fixed money supply of ₦100 billion and a central bank that targets an inflation rate of 2%. If the current inflation rate is 4%, what is the likely action the central bank will take to achieve its target?
A. Increase the money supply
B. Decrease the money supply
C. Maintain the current money supply
D. Increase interest rates
Question 5
A government is considering a tax on a particular good. The supply curve of the good is given by Q = 100 + 2P, where Q is the quantity supplied and P is the price. If the government wants to collect a tax of ₦20 per unit, determine the new equilibrium price and quantity.
A. P = ₦30, Q = 60
B. P = ₦40, Q = 80
C. P = ₦50, Q = 100
D. P = ₦60, Q = 120
Question 6
A firm's \cost function is given by C(x) = 2x^2 + 5x + 10. What is the marginal \cost function?
A. 4x + 5
B. 2x^2 + 5x + 10
C. x^2 + 5x + 10
D. x + 5
Question 7
A country is experiencing a trade deficit of ₦100 billion. If the country's exports are ₦200 billion and its imports are ₦300 billion, determine the country's balance of payments.
A. ₦100 billion surplus
B. ₦100 billion deficit
C. ₦200 billion surplus
D. ₦300 billion deficit
Question 8
A country's GDP is given by the equation GDP = C + I + G + \( X - M \), where C is consumption, I is investment, G is government sp\ending, X is exports, and M is imports. If the country's GDP is ₦100 billion, consumption is ₦30 billion, investment is ₦20 billion, government sp\ending is ₦15 billion, exports are ₦25 billion, and imports are ₦10 billion, what is the country's balance of trade?
A. ₦5 billion surplus
B. ₦5 billion deficit
C. ₦10 billion surplus
D. ₦10 billion deficit
Question 9
A consumer's utility function is given by U = 2x^0.5y^0.5, where x and y are the quantities of two goods. If the consumer's income is ₦1000 and the prices of the two goods are ₦5 and ₦10, respectively, what is the consumer's optimal bundle of goods?
A. x = 10, y = 20
B. x = 20, y = 10
C. x = 15, y = 15
D. x = 5, y = 25
Question 10
A firm's production function is given by q = 2K^0.5L^0.5. If the firm wants to produce 100 units, what is the minimum \cost of production?
A. ₦500
B. ₦1000
C. ₦1500
D. ₦2000
Question 11
A firm's production function is given by Q = 2L^0.5H^0.5, where Q is output, L is labor, and H is capital. If the firm's labor and capital are increased by 20% and 15%, respectively, what is the percentage change in output?
A. 10%
B. 12%
C. 15%
D. 18%
Question 12
A monopolist faces a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 2Q^2 + 10Q. Find the profit-maximizing quantity and price.
A. Q = 20, P = 40
B. Q = 30, P = 50
C. Q = 40, P = 60
D. Q = 50, P = 70
Question 13
Agricultural industrialization in Nigeria has been hindered by several factors. Which of the following is NOT a major constraint?
A. Lack of infrastructure
B. Inadequate funding
C. Climate change
D. High population growth rate
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 increase output by 20% while keeping labor cons\tant at 100 units, what percentage increase in capital is required?
A. 10%
B. 20%
C. 30%
D. 40%
Question 15
A firm is considering investing in a new project. The project has a net present value (NPV) of ₦100 million and a payback period of 5 years. Determine the internal rate of return (IRR) of the project.
A. 15%
B. 20%
C. 25%
D. 30%

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