POST UTME UNILAG 2022 Economics | Objective
Practice these randomly selected questions to test your readiness.
Question 1
A firm faces a demand curve given by Q = 100 - 2P. If the price of the good is ₦50, calculate the quantity demanded.
Question 2
A firm's revenue function is given by R(x) = 2x^2 + 5x + 1, where x is the number of units produced. If the firm's \cost function is C(x) = 3x^2 + 2x + 5, what is the profit function?
Question 3
A monopolist's demand curve is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the firm's marginal revenue function is given by the equation MR = 200 - 2Q, what is the monopolist's profit-maximizing quantity?
Question 4
A firm is considering investing in a new project with the following cash flows: Year 0: -₦10,000, Year 1: ₦5,000, Year 2: ₦10,000, Year 3: ₦15,000. What is the net present value (NPV) of the project if the discount rate is 10%?
Question 5
A country's GDP is $100 billion, its imports are $20 billion, and its exports are $30 billion. What is its balance of trade?
Question 6
A country's GDP at market price is 100 billion naira. The government imposes a 10% sales tax on all goods and services. Determine the country's GDP at factor \cost.
Question 7
A firm's demand function is given by Q = 100 - 2P, where Q is quantity demanded and P is price. If the firm's marginal revenue function is MR = 200 - 4Q, determine the firm's optimal price and quantity.
Question 8
A consumer's indifference curve is given by the equation U(x, y) = 2x + 3y, where x and y are the quantities of two goods consumed. If the consumer's budget constraint is given by the equation 2x + 3y = 100, what is the consumer's optimal bundle of goods?
Question 9
A perfectly competitive market has a demand curve that is downward-sloping and a supply curve that is upward-sloping. What is the equilibrium price and quantity in this market?
Question 10
Determine the elasticity of demand for a commodity whose price elasticity of demand is 0.8 and whose income elasticity of demand is 0.5. Assume that the income effect is indep\endent of the price effect.
Question 11
A country's balance of payments (BOP) accounts can be affected by a change in the exchange rate. If the exchange rate appreciates, what will be the effect on the country's net exports?
Question 12
A firm's production function is given by Q = 100K^\( 1/2 \)L^\( 1/2 \), where Q is output, K is capital, and L is labor. If the price of capital is 10 and the price of labor is 5, and if the firm's budget constraint is 100K + 50L = 1000, determine the optimal values of K and L.
Question 13
A country's population is 20 million. If the population grows at a rate of 2% per annum, what is the population after 5 years?
Question 14
A firm's demand curve for a product is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the firm's supply curve is given by the equation Qs = 2P - 50, where Qs is the quantity supplied, what is the equilibrium price and quantity?
Question 15
Consider a firm operating in a perfectly competitive market with a downward-sloping demand curve. If the firm's marginal revenue (MR) is greater than its marginal \cost (MC), what will be the effect on the firm's output?
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