Practice Post UTME SUMMIT UNIVERSITY economics 2024 Past Questions

Question 1

A consumer's indifference curve is given by the equation ( u(x,y) = 2x + 3y ). If the consumer's income is ₦1000 and the prices of x and y are ₦5 and ₦3 respectively, find the consumer's optimal bundle of x and y.

Correct A. x = 40, y = 20

B. x = 30, y = 30

C. x = 20, y = 40

D. x = 10, y = 50

Correct Answer: A

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Question 2

A firm is producing a good with a production function \( Q = 2L^{0.5}K^{0.5} \). If the firm's \cost of production is given by \( C = 10L + 20K \), find the firm's optimal input bundle of L and K.

A. L = 10, K = 20

B. L = 20, K = 10

Correct C. L = 15, K = 15

D. L = 5, K = 25

Correct Answer: C

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Question 3

A country's balance of payments is given by the equation \( BOP = X - M \), where X is the country's exports and M is its imports. If the country's exports are ₦1000 and its imports are ₦800, find the country's balance of payments.

Correct A. ₦200

B. ₦300

C. ₦400

D. ₦500

Correct Answer: A

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Question 4

A firm is producing a good with a production function \( Q = 2L^{0.5}K^{0.5} \). If the firm's \cost of production is given by \( C = 10L + 20K \), find the firm's optimal input bundle of L and K.

A. L = 10, K = 20

B. L = 20, K = 10

Correct C. L = 15, K = 15

D. L = 5, K = 25

Correct Answer: C

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Question 5

A consumer's indifference curve is given by the equation ( u(x,y) = 2x + 3y ). If the consumer's income is ₦1000 and the prices of x and y are ₦5 and ₦3 respectively, find the consumer's optimal bundle of x and y.

Correct A. x = 40, y = 20

B. x = 30, y = 30

C. x = 20, y = 40

D. x = 10, y = 50

Correct Answer: A

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Question 6

A monopolist faces a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 10Q + 100. If the monopolist produces 20 units, what is the profit-maximizing price?

A. ₦200

Correct B. ₦250

C. ₦300

D. ₦350

Correct Answer: B

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Question 7

A firm has a production function Q = 2L^2 + 3K, where L is labor and K is capital. If the firm hires 4 units of labor and 3 units of capital, what is the marginal product of labor?

A. 4

B. 6

Correct C. 8

D. 10

Correct Answer: C

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Question 8

A consumer has a utility function U(x,y) = 2x + 3y, where x is the quantity of good X and y is the quantity of good Y. If the consumer has a budget of ₦100 and the prices of good X and good Y are ₦5 and ₦3 respectively, what is the consumer's optimal bundle?

A. (10,20)

Correct B. (15,15)

C. (20,10)

D. (25,5)

Correct Answer: B

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Question 9

A firm has a demand curve given by Q = 100 - 2P and a \cost function C(Q) = 10Q + 100. If the firm produces 20 units, what is the profit-maximizing price?

A. ₦200

Correct B. ₦250

C. ₦300

D. ₦350

Correct Answer: B

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Question 10

A consumer has a utility function U(x,y) = 2x + 3y, where x is the quantity of good X and y is the quantity of good Y. If the consumer has a budget of ₦100 and the prices of good X and good Y are ₦5 and ₦3 respectively, what is the consumer's optimal bundle?

A. (10,20)

Correct B. (15,15)

C. (20,10)

D. (25,5)

Correct Answer: B

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Question 11

A firm's production function is given by Q = 2L^0.5H^0.5, where Q is output, L is labor, and H is capital. If the firm's current labor and capital inputs are L = 4 and H = 9, respectively, what is the marginal product of labor (MPL) when the firm is producing at the given input levels?

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 12

A consumer's utility function is given by U = 2x^0.5y^0.5, where x and y are the quantities of two goods consumed. If the consumer's income is ₦1000 and the prices of the two goods are ₦2 and ₦3, respectively, what is the consumer's optimal bundle of goods?

Correct A. x = 4, y = 3

B. x = 3, y = 4

C. x = 2, y = 6

D. x = 6, y = 2

Correct Answer: A

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Question 13

A government's budget constraint is given by B = T + I, where B is the budget, T is tax revenue, and I is government sp\ending. If the government's tax revenue is ₦500 and its sp\ending is ₦800, what is the government's budget?

A. ₦1000

Correct B. ₦1200

C. ₦1500

D. ₦1800

Correct Answer: B

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Question 14

A firm's production function is given by Q = 3L^0.5H^0.5, where Q is output, L is labor, and H is capital. If the firm's current labor and capital inputs are L = 9 and H = 16, respectively, what is the marginal product of capital (MPH) when the firm is producing at the given input levels?

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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Question 15

A consumer's budget constraint is given by B = P1x + P2y, where B is the budget, P1 and P2 are the prices of two goods, and x and y are the quantities of the two goods consumed. If the consumer's budget is ₦1000, the prices of the two goods are ₦2 and ₦3, respectively, and the consumer's income is ₦1200, what is the consumer's optimal bundle of goods?

A. x = 4, y = 3

Correct B. x = 3, y = 4

C. x = 2, y = 6

D. x = 6, y = 2

Correct Answer: B

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Question 16

Suppose a country's GDP is ₦100 billion and its GNP is ₦120 billion. What is the net factor income from abroad?

Correct A. ₦20 billion

B. ₦30 billion

C. ₦40 billion

D. ₦50 billion

Correct Answer: A

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Question 17

A consumer's indifference curve is given by the equation ( 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?

Correct A. (10, 5)

B. (5, 10)

C. (15, 3)

D. (20, 2)

Correct Answer: A

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Question 18

A firm's supply function is given by the equation \( Q = 2P + 10 \). If the price of the good is ₦20, what is the quantity supplied?

A. 30

Correct B. 40

C. 50

D. 60

Correct Answer: B

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Question 19

A country's balance of payments is given by the equation \( BOP = X - M \), where X is the value of exports and M is the value of imports. If the value of exports is ₦100 billion and the value of imports is ₦120 billion, what is the balance of payments?

Correct A. ₦20 billion

B. ₦30 billion

C. ₦40 billion

D. ₦50 billion

Correct Answer: A

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Question 20

A consumer's budget constraint is given by the equation \( 2x + 3y = 100 \). 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?

Correct A. (10, 5)

B. (5, 10)

C. (15, 3)

D. (20, 2)

Correct Answer: A

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Question 21

The demand for a product is given by the equation Qd = 100 - 2P, where Qd is the quantity demanded and P is the price. If the price elasticity of demand is 0.5, what is the percentage change in quantity demanded when the price increases by 10%?

Correct A. -20%

B. -10%

C. 0%

D. 10%

Correct Answer: A

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Question 22

A firm is producing a good with a total revenue of ₦1,500 and a total \cost of ₦1,200. If the price elasticity of demand is 1.5, what is the price elasticity of supply?

A. 0.5

Correct B. 1.5

C. 2.5

D. 3.5

Correct Answer: B

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Question 23

A country is experiencing a recession, and the government decides to implement a fiscal policy to stimulate the economy. If the government increases its sp\ending by ₦500 billion, what is the multiplier effect on the GDP?

A. ₦1,000 billion

Correct B. ₦1,500 billion

C. ₦2,000 billion

D. ₦2,500 billion

Correct Answer: B

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Question 24

A firm is producing a good with a marginal revenue of ₦500 and a marginal \cost of ₦300. If the price elasticity of demand is 0.5, what is the price of the good?

A. ₦100

B. ₦200

Correct C. ₦300

D. ₦400

Correct Answer: C

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Question 25

A country is experiencing a trade deficit, and the government decides to implement a trade policy to reduce the deficit. If the country imports goods worth ₦1,500 billion and exports goods worth ₦1,200 billion, what is the trade deficit?

A. ₦300 billion

B. ₦400 billion

Correct C. ₦500 billion

D. ₦600 billion

Correct Answer: C

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