POST UTME WELLSPRING UNIVERSITY 2023 Economics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A firm's revenue function is given by R(q) = 20q^2 - 10q. If the firm produces 5 units, what is the marginal revenue?
Question 2
A firm's marginal revenue (MR) and marginal \cost (MC) curves are given by MR = 100 - 2x and MC = 50 + x. At what level of output will the firm maximize its profits?
Question 3
A country's inflation rate is given by the equation π = 2 + 0.01Y, where π is the inflation rate and Y is the national income. If the national income is ₦10,000, what is the inflation rate?
Question 4
A firm's \cost function is given by C(q) = 10q^2 + 20q. If the firm produces 10 units, what is the total \cost?
Question 5
A firm is producing a good u\sing a production function given by Q = 2L^0.5K^0.5. The firm's \cost function is given by C = 100L + 200K. What is the firm's optimal input mix?
Question 6
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 price at which the quantity demanded is 50?
Question 7
The government of Nigeria has introduced a new policy aimed at increa\sing agricultural production. The policy includes a subsidy of ₦50,000 per hectare for farmers who produce crops that are in high demand. If a farmer produces 100 hectares of crops, what is the total subsidy they will receive?
Question 8
A country's GDP is given by the equation Y = 1000 + 2C + 3I, where Y is the GDP, C is the consumption, and I is the investment. If the consumption is ₦5,000 and the investment is ₦8,000, what is the GDP?
Question 9
A firm's production function is given by the equation Q = 2L + 3K, where Q is the output, L is the labor, and K is the capital. If the labor is 10 units and the capital is 5 units, what is the output?
Question 10
A firm's demand curve is given by the equation Qd = 100 - 2P. If the firm's marginal \cost is $20, what is the firm's optimal price?
Question 11
A monopolist faces a demand curve given by P = 100 - 2Q, where P is the price and Q is the quantity. The monopolist's marginal \cost curve is given by MC = 20 + 2Q. Find the monopolist's profit-maximizing quantity and price.
Question 12
A country's inflation rate is given by the following equation: Inflation = \( P - P0 \) / P0, where P is the current price level and P0 is the base price level. If the current price level is ₦100 and the base price level is ₦80, what is the inflation rate?
Question 13
A country's balance of payments is given by the equation BOP = X - M, where BOP is the balance of payments, X is the exports, and M is the imports. If the exports are ₦100 billion and the imports are ₦80 billion, what is the balance of payments?
Question 14
A monopolist produces a product at a cons\tant marginal \cost of ₦50 per unit. The demand for the product is given by the equation Q = 100 - 2P, where Q is the quantity demanded and P is the price. What is the profit-maximizing price and quantity?
Question 15
A monopolist produces a good with a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 2Q^2 + 10Q. Find the profit-maximizing quantity and price.
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