POST UTME BABCOCK UNIVERSITY 2023 Economics | Objective

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Question 1
The government of a country has a fiscal policy objective of increa\sing government revenue by 10% within the next year. If the current tax rate is 20%, what is the required tax rate to achieve this objective?
A. 22%
B. 25%
C. 28%
D. 30%
Question 2
A consumer has a utility function given by U(x, y) = 2x + 3y. If the consumer's income is ₦1000 and the prices of x and y are ₦2 and ₦3 respectively, what is the consumer's optimal bundle?
A. x = 200, y = 100
B. x = 150, y = 150
C. x = 100, y = 200
D. x = 200, y = 200
Question 3
A firm is considering investing in a new project that has a payback period of 5 years. However, the firm's \cost of capital is 10% per annum. U\sing the concept of payback period, explain why the firm should or should not invest in the project.
A. The firm should invest in the project because the payback period is less than the \cost of capital.
B. The firm should not invest in the project because the payback period is greater than the \cost of capital.
C. The firm should invest in the project because the payback period is equal to the \cost of capital.
D. The firm should not invest in the project because the payback period is less than the \cost of capital.
Question 4
A firm's \cost function is given by TC = 100 + 2L + 3K, where TC is total \cost, L is labor, and K is capital. If the firm's labor and capital are increased by 10% and 15% respectively, what is the new total \cost?
A. 100 + 2.2L + 3.45K
B. 100 + 2.2L + 3.45K
C. 100 + 2.2L + 3.45K
D. 100 + 2.2L + 3.45K
Question 5
A monopolist faces a demand curve given by Qd = 100 - 2P and a \cost function C(Q) = 2Q^2 + 10Q. Find the profit-maximizing quantity and price.
A. $Q = 20, P = 40$
B. $Q = 30, P = 50$
C. $Q = 40, P = 60$
D. $Q = 50, P = 70$
Question 6
A consumer's budget constraint is given by P1Q1 + P2Q2 = I, where P1 and P2 are prices, Q1 and Q2 are quantities, and I is income. If the consumer's income increases by 10% and the prices of good 1 and good 2 increase by 5% and 8% respectively, what is the new budget constraint equation?
A. P1Q1 + 1.08P2Q2 = 1.1I
B. 1.05P1Q1 + 1.08P2Q2 = 1.1I
C. 1.05P1Q1 + 1.08P2Q2 = 1.1I
D. 1.05P1Q1 + 1.08P2Q2 = 1.1I
Question 7
A firm's demand function is given by Q = 100 - 2P. If the price of the product is ₦50 per unit, what is the value of the price elasticity of demand?
A. 0.5
B. 1.5
C. 2.5
D. 3.5
Question 8
A firm's production function is given by Q = 100L^0.5K^0.5, where Q is output, L is labor, and K is capital. If the firm's labor and capital are increased by 20% and 15% respectively, what is the new production function?
A. Q = 100(1.2L)^0.5(1.15K)^0.5
B. Q = 100(1.2L)^0.5(1.15K)^0.5
C. Q = 100(1.2L)^0.5(1.15K)^0.5
D. Q = 100(1.2L)^0.5(1.15K)^0.5
Question 9
A firm has a production function Q = 2L^0.5K^0.5. If the price of labor is $10 and the price of capital is $20, find the profit-maximizing values of L and K.
A. $L = 100, K = 100$
B. $L = 200, K = 200$
C. $L = 50, K = 50$
D. $L = 25, K = 25$
Question 10
A consumer's indifference curve is given by U = 2Q1 + 3Q2, where U is utility, Q1 and Q2 are quantities. If the consumer's income increases by 10% and the prices of good 1 and good 2 increase by 5% and 8% respectively, what is the new indifference curve equation?
A. U = 2.1Q1 + 3.24Q2
B. U = 2.1Q1 + 3.24Q2
C. U = 2.1Q1 + 3.24Q2
D. U = 2.1Q1 + 3.24Q2
Question 11
A firm's production function is given by Q = 100L^0.5K^0.5. If the price of labor is ₦100 per unit and the price of capital is ₦50 per unit, and the firm is currently producing 100 units of output, what is the value of the marginal product of labor?
A. 10
B. 20
C. 30
D. 40
Question 12
A government imposes a tax on a good, which leads to a decrease in its demand. What is the effect on the government's revenue from this tax?
A. The revenue increases
B. The revenue decreases
C. The revenue remains unchanged
D. The revenue dep\ends on other factors
Question 13
A country imposes a tariff of 20% on imported goods. If the world price of the good is $100, what is the domestic price?
A. $80
B. $120
C. $110
D. $130
Question 14
A firm's production function is given by Q = 100L^0.5K^0.5, where Q is output, L is labor, and K is capital. If the firm's labor and capital are increased by 20% and 15% respectively, what is the percentage change in output?
A. 10%
B. 12%
C. 15%
D. 18%
Question 15
A country is experiencing a recession, and its GDP is decrea\sing. U\sing the concept of GDP, explain why this may not necessarily mean that the country is experiencing economic decline.
A. A decrease in GDP indicates that a country is experiencing economic decline.
B. A decrease in GDP indicates that a country is experiencing economic growth.
C. A decrease in GDP indicates that a country is experiencing a recession.
D. A decrease in GDP indicates that a country is experiencing a depression.

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