POST UTME SKYLINE UNIVERSITY 2017 Economics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
Consider a firm that is producing a good u\sing a production function Q = 3L^0.5K^0.5. If the firm's current input prices are w = 15 and r = 30, and it is currently producing 150 units of output, what is the firm's current total \cost?
Question 2
A monopolist has a \cost function given by \( C = 100 + 20Q \) and a revenue function given by \( R = 200Q - 2Q^2 \). Find the monopolist's profit-maximizing output.
Question 3
A firm's production function is given by Q = 100K^\( 1/2 \)L^\( 1/2 \). If the firm's output is 100 units when K = 16 and L = 16, what is the marginal product of labor (MPL) when K = 16 and L = 16?
Question 4
A country's GDP is ₦100 billion. If the country's GNP is ₦120 billion, what is the country's net factor income from abroad?
Question 5
A firm is producing a good u\sing two inputs, labor (L) and capital (K). The production function is given by \( Q = 2L^{0.5}K^{0.5} \). If the firm's techno\logy is such that the marginal product of labor is 2 and the marginal product of capital is 3, find the firm's optimal input bundle.
Question 6
A country's balance of payments (BOP) is a statistical statement that summarizes all economic transactions between a country and the rest of the world over a specific period of time. What is the main purpose of the BOP?
Question 7
A firm's revenue function is given by R(x) = 2x^2 + 5x + 1. Find the point of inflection and explain its significance.
Question 8
A firm is producing a good u\sing two inputs, labor (L) and capital (K). The production function is given by \( Q = 2L^{0.5}K^{0.5} \). If the firm's techno\logy is such that the marginal product of labor is 2 and the marginal product of capital is 3, find the firm's optimal input bundle.
Question 9
A firm's \cost function is given by C(x) = 2x^2 + 5x + 1. Find the marginal \cost function and explain its significance.
Question 10
A perfectly competitive market has a demand curve given by \( P = 100 - 2Q \) and a supply curve given by \( P = 20 + 3Q \). Find the equilibrium price and quantity.
Question 11
U\sing the concept of comparative advantage, explain why a country should specialize in producing goods for which it has a lower opportunity \cost.
Question 12
A consumer's utility function is given by U = 2x + 3y. If the consumer's income is ₦100 and the prices of x and y are ₦5 and ₦10 respectively, what is the consumer's optimal bundle of x and y?
Question 13
A country is experiencing a trade deficit due to a decrease in exports and an increase in imports. Which of the following policies would help to reduce the trade deficit?
Question 14
A perfectly competitive market has a demand curve given by \( P = 100 - 2Q \) and a supply curve given by \( P = 20 + 3Q \). Find the equilibrium price and quantity.
Question 15
A firm is producing at a point on its production function where the marginal product of labor is 4 and the marginal product of capital is 3. If the firm increases its labor input by 1 unit, what will be the change in output?
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