POST UTME UNN 2019 Economics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A firm is producing a good with a production function given by Q = 2L^2 + 3K. The prices of labor and capital are $5 and $10 respectively. Find the firm's optimal input bundle of labor and capital.
Question 2
A firm operates in a monopoly market with a demand curve \( P = 100 - 2Q \) and a marginal revenue (MR) curve \( MR = 100 - 4Q \). If the firm's marginal \cost (MC) is $20, what is its profit-maximizing quantity of output?
Question 3
A firm's revenue function is given by R = 2Q - 3. If the firm's current output is Q = 10, what is the total revenue?
Question 4
A country's GDP is given by the equation GDP = 100 + 2Y + 3C. If the country's Y and C are ₦50 and ₦75 respectively, what is the country's GDP?
Question 5
A country's GDP is calculated as the sum of the value of all final goods and services produced within its borders. If a country's GDP is ₦500 billion and its population is 20 million, what is the per capita income?
Question 6
A perfectly competitive firm's supply curve is given by the equation Q = 100 - 2P. If the market price is ₦50, what is the firm's output?
Question 7
A firm's \cost function is given by C(q) = 2q^2 + 10q + 5. If the firm produces 5 units of the good, what is the total \cost?
Question 8
Consider a firm operating in a perfectly competitive market with a given demand curve \( P = 100 - 2Q \) and a cons\tant marginal \cost (MC) of $10. If the firm's average revenue (AR) is $50, what is its profit-maximizing quantity of output?
Question 9
A country's GDP is calculated as the sum of consumption, investment, government sp\ending, and net exports. If the country's GDP is ₦10 trillion and the government sp\ending is ₦2 trillion, what is the sum of consumption and investment?
Question 10
A monopolistically competitive firm faces a demand curve given by Q = 100 - 2P. The firm's marginal revenue (MR) function is MR = 50 - 2Q. Find the firm's optimal price and quantity.
Question 11
A government budget is given by the equation B = T + I + G, where B is the budget deficit, T is tax revenue, I is interest payments, and G is government sp\ending. If the government's current tax revenue is ₦100 billion, interest payments are ₦20 billion, and government sp\ending is ₦150 billion, what is the budget deficit?
Question 12
A country's balance of payments (BOP) is in equilibrium when the current account is equal to the capital account. If the country's current account is a deficit of ₦500 billion and the capital account is a surplus of ₦200 billion, what is the net capital outflow?
Question 13
A consumer's budget constraint is given by \( 2x + 3y = 12 \). If the consumer's indifference curve is represented by the equation ( u(x,y) = 2x + y ), find the consumer's optimal bundle of x and y.
Question 14
A firm's production function is a mathematical representation of the relationship between the inputs used to produce a good and the quantity of the good produced. Which of the following production functions is a Cobb-Douglas function?
Question 15
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 income is $100 and the prices of the two goods are $5 and $10 respectively, what is the consumer's optimal bundle of goods?
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