POST UTME UNIPORT 2025 Economics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A firm has a total revenue function given by TR = 2Q^2 - 10Q + 20. What is the firm's marginal revenue function?
Question 2
A central bank is considering a monetary policy to reduce inflation. If the current inflation rate is 10% and the central bank wants to reduce it to 5% within the next 2 years, what will be the required annual rate of interest?
Question 3
A perfectly competitive firm's marginal revenue (MR) curve is downward sloping. What is the relationship between the firm's marginal \cost (MC) and its average total \cost (ATC)?
Question 4
A firm is considering two different production processes for producing a certain good. Process A has a fixed \cost of ₦1000 and a variable \cost of ₦5 per unit, while process B has a fixed \cost of ₦500 and a variable \cost of ₦10 per unit. If the firm produces 100 units of the good, what will be the total \cost of production for each process?
Question 5
A firm has a budget of ₦500 million for a project. If the project requires an initial investment of ₦200 million and a recurring exp\enditure of ₦100 million per year, what is the maximum number of years that the firm can sustain the project?
Question 6
A firm is considering investing in a new project that has a net present value (NPV) of ₦100,000. However, the firm's \cost of capital is 10% per annum. U\sing the NPV rule, determine whether the firm should invest in the project.
Question 7
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm's \cost of labor is ₦100 per unit and the \cost of capital is ₦200 per unit, calculate the firm's total \cost function.
Question 8
A monopoly firm faces a demand curve given by Qd = 100 - 2P. The firm's marginal \cost curve is given by MC = 5. Calculate the firm's optimal price and quantity.
Question 9
A consumer's utility function is given by U(x, y) = 2x + 3y, where x and y are the quantities of two goods consumed. If the consumer's budget constraint is 10x + 5y = 50, what is the optimal bundle of goods (x, y) that the consumer should consume?
Question 10
A country's GDP is ₦1,000,000,000,000, and its GNP is ₦1,100,000,000,000. What is the country's net factor income from abroad?
Question 11
A monopolist faces a demand curve with the following equation: Qd = 100 - 2P. If the firm's marginal \cost (MC) is cons\tant at ₦10, what is the optimal price (P) and quantity (Q) that the firm should produce?
Question 12
Consider a firm that produces two goods, X and Y. The production function for good X is given by \( Q_X = 2L^2 + 3K \), where L is labor and K is capital. The production function for good Y is given by \( Q_Y = 4L^2 - 2K \). If the firm has 100 units of labor and 50 units of capital, what is the total output of the firm?
Question 13
A firm is producing a good with the following production function: Q = 2L^2 + 3K, where L is labor and K is capital. If the firm's \cost function is C(L, K) = 2L + 3K, what is the firm's average \cost (AC) function?
Question 14
A firm is considering investing in a new project that has a net present value (NPV) of ₦100,000. However, the firm's \cost of capital is 10% per annum. U\sing the NPV rule, determine whether the firm should invest in the project.
Question 15
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, what is the optimal bundle of goods that the consumer will consume?
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