POST UTME DELSU 2018 Economics | Objective
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Question 1
A consumer's utility function is given by U(x,y) = 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?
Question 2
A consumer has a budget of ₦1000 to sp\end on two goods, X and Y. The price of good X is ₦5 per unit, and the price of good Y is ₦10 per unit. The consumer's indifference curve is given by the equation U = 2X^0.5Y^0.5, where U is the level of utility. What is the maximum amount of good X that the consumer can buy?
Question 3
A farmer has 100 hectares of land and wants to plant a crop that requires 20 hectares per season. If the farmer wants to plant 5 seasons, how many hectares of land will be left unused?
Question 4
A firm's demand curve is downward sloping because of the law of diminishing marginal utility. What is the opportunity \cost of producing an additional unit of good X?
Question 5
A consumer has an indifference curve with the following equation: \( U = 2x + 3y \), where ( x ) and ( y ) are the quantities of two goods. If the consumer's budget constraint is given by \( 2x + 3y = 12 \), what is the consumer's opportunity \cost of good ( x )?
Question 6
A country's balance of payments is given by: Exports = 100, Imports = 120, Foreign Aid = 50, and Remit\tances = 20. Find the country's current account deficit.
Question 7
A country's balance of payments is in surplus when its current account is greater than its capital account. What is the value of the current account in this scenario?
Question 8
A government budget is given by the equation B = T + G, where B is the total budget, T is the total tax revenue, and G is the total government exp\enditure. If the total tax revenue is ₦500 billion and the total government exp\enditure is ₦700 billion, what is the total budget?
Question 9
The government of Nigeria has introduced a new policy aimed at promoting industrialization in the country. The policy includes a 10% reduction in corporate taxes for companies that invest in research and development. What is the expected effect of this policy on the country's GDP?
Question 10
A government imposes a tax on a good, cau\sing the supply curve to shift from S1 to S2. The demand curve is given by Q = 100 - 2P. Find the new equilibrium price and quantity.
Question 11
A firm's total revenue is given by the equation TR = 100x - 2x^2, where x is the number of units sold. If the firm sells 20 units, what is its total revenue?
Question 12
A firm is producing a good with the production function \( Q = 2L^2 + 3K \), where ( L ) is labor and ( K ) is capital. If the firm's \cost function is given by \( C = 10L + 20K \), what is the firm's marginal product of labor (MPL) at the point where the firm's marginal \cost (MC) equals the wage rate?
Question 13
A monopolist faces a demand curve with the following equation: \( Q = 100 - 2P \). The monopolist's marginal revenue (MR) function is given by \( MR = 200 - 2Q \). What is the price elasticity of demand (PED) at the quantity where the monopolist's marginal revenue (MR) equals zero?
Question 14
A firm's \cost function is given by C(x) = 2x^2 + 5x + 1. If the firm's revenue function is R(x) = 3x^2 + 2x + 1, what is the firm's profit function?
Question 15
A country's budget is given by B = 100 + 0.2Y, where Y is the national income. If the government wants to balance the budget, what is the required national income?
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