Practice post utme osustech 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's \cost function is given by ( C(x) = 2x^2 + 3x + 10 ). If the firm produces 10 units of output, find the total \cost of production.

A. ₦130

B. ₦140

Correct C. ₦150

D. ₦160

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 value of exports and M is the value of imports. If the country's exports are ₦500 and imports are ₦300, find the balance of payments.

Correct A. ₦200

B. ₦300

C. ₦400

D. ₦500

Correct Answer: A

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Question 4

A firm's revenue function is given by ( R(x) = 2x^2 - 3x + 10 ). If the firm produces 10 units of output, find the marginal revenue.

A. ₦20

Correct B. ₦30

C. ₦40

D. ₦50

Correct Answer: B

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Question 5

A country's elasticity of demand for a particular good is given by the equation \( E_d = \frac{P}{Q} \), where P is the price of the good and Q is the quantity demanded. If the price of the good is ₦10 and the quantity demanded is 20 units, find the elasticity of demand.

A. 0.5

Correct B. 1

C. 1.5

D. 2

Correct Answer: B

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Question 6

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's average revenue is ₦200, what is the price elasticity of demand?

A. Inelastic

B. Unit Elastic

Correct C. Elastic

D. Perfectly Elastic

Correct Answer: C

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Question 7

A country's GDP is ₦10 trillion, its imports are ₦2 trillion, and its exports are ₦1.5 trillion. What is its balance of trade?

A. ₦0.5 trillion surplus

Correct B. ₦1 trillion deficit

C. ₦0.5 trillion deficit

D. ₦1 trillion surplus

Correct Answer: B

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Question 8

A firm's production function is given by Q = 10L^0.5K^0.5, where Q is output, L is labor, and K is capital. If the firm increases labor from 100 to 120 units, and capital from 100 to 121 units, what is the percentage change in output?

A. 10%

Correct B. 15%

C. 20%

D. 25%

Correct Answer: B

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Question 9

A country's money supply is ₦5 trillion, its velocity of money is 2, and its price level is ₦100. What is its nominal GDP?

A. ₦10 trillion

Correct B. ₦20 trillion

C. ₦30 trillion

D. ₦40 trillion

Correct Answer: B

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Question 10

A firm's demand function is given by Q = 100 - 2P, where Q is quantity demanded and P is price. If the firm's supply function is given by Q = 50 + 3P, what is the equilibrium price?

A. ₦20

B. ₦30

Correct C. ₦40

D. ₦50

Correct Answer: C

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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 this level of inputs?

Correct A. 1.5

B. 2.5

C. 3.5

D. 4.5

Correct Answer: A

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Question 12

A monopolist faces a demand curve given by P = 100 - 2Q, where P is price and Q is quantity. If the firm's marginal \cost (MC) is 20, what is the profit-maximizing quantity?

A. 20

B. 30

Correct C. 40

D. 50

Correct Answer: C

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Question 13

A firm's total revenue (TR) is given by TR = 100Q - 2Q^2, where Q is quantity. If the firm is currently producing 10 units, what is the elasticity of demand?

Correct A. 0.5

B. 1.5

C. 2.5

D. 3.5

Correct Answer: A

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Question 14

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 opportunity \cost of increa\sing labor by 1 unit?

A. 1

Correct B. 2

C. 3

D. 4

Correct Answer: B

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Question 15

A firm's total \cost (TC) is given by TC = 100 + 20Q + 2Q^2, where Q is quantity. If the firm is currently producing 10 units, what is the average \cost?

A. 10

B. 20

Correct C. 30

D. 40

Correct Answer: C

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Question 16

Consider a firm operating in a perfectly competitive market. If the firm's average \cost curve intersects the demand curve at a point where the firm is producing at its optimal level of output, what is the implication for the firm's profit-maximizing output level?

Correct A. The firm will produce at a level where its marginal revenue equals its marginal \cost.

B. The firm will produce at a level where its average revenue equals its average \cost.

C. The firm will produce at a level where its marginal revenue equals its average \cost.

D. The firm will produce at a level where its average revenue equals its marginal \cost.

Correct Answer: A

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Question 17

A country's GDP is calculated as the sum of all final goods and services produced within its borders. If a foreign company produces a good within the country, but the good is not sold within the country, how will this affect the country's GDP?

A. The country's GDP will increase by the value of the good produced.

B. The country's GDP will decrease by the value of the good produced.

Correct C. The country's GDP will remain unchanged.

D. The country's GDP will increase by the value of the good sold within the country.

Correct Answer: C

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Question 18

A monopolist faces a demand curve with the following equation: Q = 100 - 2P. If the firm's marginal \cost curve is MC = 10, what is the profit-maximizing price and quantity?

Correct A. P = 40, Q = 30

B. P = 50, Q = 25

C. P = 60, Q = 20

D. P = 70, Q = 15

Correct Answer: A

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Question 19

A firm is considering investing in a new project that has the following cash flows: Year 1: -100, Year 2: 150, Year 3: 200. What is the net present value of the project if the discount rate is 10%?

Correct A. -50

B. -30

C. -20

D. 10

Correct Answer: A

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Question 20

A country's GNP is calculated as the sum of all final goods and services produced within its borders, plus the income earned by its citizens from abroad. If a country's GDP is 100, and its citizens earn 20 from abroad, what is the country's GNP?

Correct A. 120

B. 110

C. 100

D. 90

Correct Answer: A

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Question 21

Consider a production function \( Q = f\( L, K \ \) ) where ( Q ) is the quantity of output, ( L ) is labor, and ( K ) is capital. If the marginal product of labor is \( MPL = \frac{partial Q}{partial L} = 10L \) and the marginal product of capital is \( MPK = \frac{partial Q}{partial K} = 5K \), what is the value of \( \frac{MPL}{MPK} \) when \( L = 2 \) and \( K = 3 \)?

Correct A. 6

B. 12

C. 24

D. 48

Correct Answer: A

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Question 22

A firm's demand function is given by \( Q = 100 - 2P \), where ( Q ) is the quantity demanded and ( P ) is the price. If the firm's supply function is \( Q = 2P - 50 \), what is the equilibrium price and quantity?

Correct A. Price: 25, Quantity: 50

B. Price: 50, Quantity: 25

C. Price: 75, Quantity: 100

D. Price: 100, Quantity: 75

Correct Answer: A

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Question 23

A country's government imposes a tax on a firm's output. The firm's supply function is \( Q = 2P - 50 \) and the tax rate is 20%. What is the new supply function after the tax is imposed?

Correct A. Q = 2P - 60

B. Q = 2P - 70

C. Q = 2P - 80

D. Q = 2P - 90

Correct Answer: A

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Question 24

Consider a firm that produces two goods, A and B. The production function for good A is \( Q_A = 2L_A + 3K_A \) and the production function for good B is \( Q_B = 3L_B + 2K_B \). If the firm has 10 units of labor and 8 units of capital, how many units of good A and good B should the firm produce to maximize profits?

Correct A. Good A: 20 units, Good B: 15 units

B. Good A: 15 units, Good B: 20 units

C. Good A: 10 units, Good B: 10 units

D. Good A: 5 units, Good B: 5 units

Correct Answer: A

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Question 25

A country's central bank implements a monetary policy by increa\sing the money supply. If the initial money supply is ₦100 billion and the velocity of money is 2, what is the new money supply after the policy is implemented?

A. ₦200 billion

Correct B. ₦250 billion

C. ₦300 billion

D. ₦350 billion

Correct Answer: B

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