POST UTME NILE UNIVERSITY 2025 Economics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A firm is producing a good with a production function Q = 2L^2 + 3K. If the prices of labor and capital are $10 and $20 respectively, and the firm has a budget of $100, determine the optimal quantities of labor and capital to use.
Question 2
A government's budget constraint is given by B = T + I. If the government's tax revenue (T) is ₦100 billion and the government's investment (I) is ₦50 billion, what is the government's budget (B)?
Question 3
A monopolist's demand function is given by \( Q = 100 - 2P \). If the firm's marginal \cost is ₦20, find the optimal price and quantity u\sing the first-order condition.
Question 4
A government budget is given by B = T + I. If the government's tax revenue (T) is ₦100 billion and the government's investment (I) is ₦50 billion, what is the government's budget (B)?
Question 5
The demand for a product is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the price elasticity of demand is 0.5, what is the percentage change in quantity demanded when the price increases by 10%?
Question 6
A country's GDP is given by the equation Y = C + I + G + \( X - M \), where Y is the GDP, C is the consumption, I is the investment, G is the government sp\ending, X is the exports, and M is the imports. If the country's GDP is ₦10 trillion, and the consumption is ₦3 trillion, the investment is ₦1 trillion, the government sp\ending is ₦2 trillion, the exports are ₦2 trillion, and the imports are ₦1 trillion, what is the value of the imports?
Question 7
A monopolist faces a demand curve given by Qd = 100 - 2P. If the marginal revenue (MR) is 50, what is the price elasticity of demand?
Question 8
A firm's \cost function is given by C = 2L + 3K. If the firm's output is 16 units when the number of workers (L) is 4 and the amount of capital (K) is 4, what is the firm's average \cost (AC) when L = 9 and K = 9?
Question 9
A firm's \cost function is given by \( C = 100K + 200L \). If the firm's revenue function is given by \( R = 300K + 400L \), find the value of the elasticity of demand u\sing the midpoint method.
Question 10
A firm is producing a good with a production function Q = 2L^2 + 3K. If the prices of labor and capital are $10 and $20 respectively, and the firm has a budget of $100, determine the optimal quantities of labor and capital to use.
Question 11
A firm is considering investing in a new project that has a net present value (NPV) of ₦100,000. If the \cost of capital is 10%, what is the internal rate of return (IRR)?
Question 12
Consider a firm operating in a perfectly competitive market with a production function Q = 2L^0.5K^0.5. If the firm's current input prices are w_L = 10 and w_K = 20, and the firm's current output price is p = 50, calculate the firm's current profit-maximizing input bundle (L, K) and the corresponding output level Q.
Question 13
A monopolist faces a demand curve with an elasticity of -4. If the monopolist increases its price by 20%, what is the percentage change in quantity demanded?
Question 14
A consumer has the following utility function: U(x, y) = 2x + 3y. The prices of x and y are p_x = 10 and p_y = 20, respectively. If the consumer's income is I = 100, determine the consumer's optimal consumption bundle (x, y).
Question 15
Consider a firm with a production function Q = L^0.5K^0.5. If the firm's current input prices are w_L = 10 and w_K = 20, and the firm's current output price is p = 50, determine the firm's current profit-maximizing input bundle (L, K) and the corresponding output level Q.
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