POST UTME CALEB UNIVERSITY 2021 Economics | Objective
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Question 1
The concept of production theory implies that the firm's goal is to maximize profits by producing the optimal quantity of goods and services. Which of the following is a characteristic of a perfectly competitive firm?
Question 2
A firm's production function is given by Q = 2L^0.5K^0.5, where Q is the output, L is the labor and K is the capital. If the price of labor is ₦100 per unit and the price of capital is ₦200 per unit, and the firm's budget constraint is ₦10,000, what is the optimal level of labor and capital?
Question 3
A government's budget constraint is given by G = 100 + 0.5T, where G is government exp\enditure and T is tax revenue. If the government wants to sp\end ₦150, find the required tax revenue.
Question 4
A firm's total revenue is given by the equation TR = 100x - 2x^2, where x is the number of units sold. What is the marginal revenue when x = 20?
Question 5
A firm's \cost function is given by C = 2L + 3K, where C is the total \cost, L is the number of labor units, and K is the number of capital units. If the firm hires 2 labor units and 3 capital units, what is the total \cost?
Question 6
A monopolist faces a demand curve with the following equation: \( Q = 100 - 2P \). If the monopolist's marginal \cost is \( MC = 10 \), what is the profit-maximizing price?
Question 7
A firm's production function is given by Q = 2L^0.5K^0.5. If the firm has 100 units of labor and 200 units of capital, find the maximum output.
Question 8
A firm's production function is given by \( Q = 2L^0.5K^0.5 \). If the firm's input prices are \( w = 10 \) and \( r = 20 \), what is the profit-maximizing level of labor?
Question 9
A monopolist faces a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 2Q^2 + 10Q. If the monopolist produces 20 units, what is the consumer surplus?
Question 10
A consumer's utility function is given by U = 2x + 3y, where x and y are the quantities of two goods consumed. If the consumer's budget constraint is 4x + 2y = 12, and the prices of the two goods are $2 and $3 respectively, what is the consumer's optimal bundle of goods?
Question 11
A firm produces two goods, A and B. The production of good A requires 2 units of labor and 1 unit of capital, while the production of good B requires 1 unit of labor and 2 units of capital. If the firm has 10 units of labor and 8 units of capital, and the prices of goods A and B are ₦100 and ₦120 respectively, what is the optimal production plan?
Question 12
A country's GDP is given by the equation Y = C + I + G, where Y is the GDP, C is the consumption, I is the investment, and G is the government sp\ending. If the country's consumption is $100, investment is $50, and government sp\ending is $20, what is the GDP?
Question 13
The concept of economic planning and development implies that the government plays a crucial role in guiding the economy towards sustainable development. Which of the following is a characteristic of a planned economy?
Question 14
The concept of returns to scale in production theory implies that as the input factors increase, the output will increase at a rate that is proportional to the increase in input factors. Which of the following is a characteristic of increa\sing returns to scale?
Question 15
A firm's revenue function is given by R(Q) = 100Q - 2Q^2. Find the marginal revenue function.
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