Practice Post UTME AAUA economics 2022 Past Questions

Question 1

A firm's production function is given by Q = 2L^\( 1/2 \)K^\( 1/2 \), where Q is output, L is labor, and K is capital. If the firm's labor and capital are fixed at 16 and 25 respectively, calculate the average product of labor (APL) and average product of capital (APK).

A. APL = 1/L, APK = 1/K

B. APL = 1/\( 2L^\( 1/2 \ \)K^\( 1/2 \)), APK = 1/\( 2L^\( 1/2 \ \)K^\( 1/2 \))

C. APL = 1/L, APK = 1/K^\( 1/2 \)

D. APL = 1/\( 2L^\( 1/2 \ \)K^\( 1/2 \)), APK = 1/K

Question 2

Industrial development is closely related to the concept of economic growth. Which of the following is a correct statement regarding industrial development?

A. Industrial development is the process of increa\sing the production of goods.

B. Industrial development is the process of increa\sing the production of services.

C. Industrial development is the process of increa\sing the s\tandard of living.

D. Industrial development is the process of increa\sing the income of a country.

Question 3

The balance of payments (BOP) is a statistical statement that summarizes a country's economic transactions with the rest of the world. Which of the following is a component of the BOP?

A. Current account

B. Capital account

C. Financial account

D. All of the above

Question 4

Agricultural development is closely related to the concept of economic growth. Which of the following is a correct statement regarding agricultural development?

A. Agricultural development is the process of increa\sing the production of crops.

B. Agricultural development is the process of increa\sing the production of livestock.

C. Agricultural development is the process of increa\sing the s\tandard of living.

D. Agricultural development is the process of increa\sing the income of a country.

Question 5

Consider a firm operating in a perfectly competitive market. The firm's production function is given by Q = 2L^\( 1/2 \)K^\( 1/2 \), where Q is the quantity produced, L is labor, and K is capital. If the firm's current labor and capital inputs are L = 4 and K = 9, respectively, what is the firm's marginal product of labor (MPL) when the firm is producing at its current level of output?

A. \( MPL = \frac{1}{2}L^{-1/2}K^{1/2} \)

B. \( MPL = \frac{1}{2}L^{1/2}K^{-1/2} \)

C. \( MPL = L^{1/2}K^{1/2} \)

D. \( MPL = L^{-1/2}K^{1/2} \)

Question 6

Consider a firm producing two goods, X and Y, with the following production function: Q_x = 2L^0.5K^0.5 and Q_y = 3L^0.25K^0.75. If the firm's current input levels are L = 4 and K = 9, calculate the marginal rate of technical substitution (MRTS) between labor and capital for the production of good X.

A. \( \frac{dQ_x}{dL} / \frac{dQ_x}{dK} = \frac{L^{-0.25}K^{0.25}}{L^{0.25}K^{-0.25}} \)

B. \( \frac{dQ_x}{dL} / \frac{dQ_x}{dK} = \frac{L^{0.25}K^{-0.25}}{L^{-0.25}K^{0.25}} \)

C. \( \frac{dQ_x}{dL} / \frac{dQ_x}{dK} = \frac{L^{0.5}K^{0.5}}{L^{0.5}K^{0.5}} \)

D. \( \frac{dQ_x}{dL} / \frac{dQ_x}{dK} = \frac{L^{-0.5}K^{-0.5}}{L^{0.5}K^{0.5}} \)

Question 7

Consider a firm producing two goods, X and Y, with the following production function: Q_x = 2L^0.5K^0.5 and Q_y = 3L^0.25K^0.75. If the firm's current input levels are L = 4 and K = 9, calculate the marginal rate of technical substitution (MRTS) between labor and capital for the production of good Y.

A. \( \frac{dQ_y}{dL} / \frac{dQ_y}{dK} = \frac{L^{-0.25}K^{0.25}}{L^{0.25}K^{-0.25}} \)

B. \( \frac{dQ_y}{dL} / \frac{dQ_y}{dK} = \frac{L^{0.25}K^{-0.25}}{L^{-0.25}K^{0.25}} \)

C. \( \frac{dQ_y}{dL} / \frac{dQ_y}{dK} = \frac{L^{0.5}K^{0.5}}{L^{0.5}K^{0.5}} \)

D. \( \frac{dQ_y}{dL} / \frac{dQ_y}{dK} = \frac{L^{-0.5}K^{-0.5}}{L^{0.5}K^{0.5}} \)

Question 8

The demand for a commodity is said to be elastic if the percentage change in the quantity demanded is greater than the percentage change in the price of the commodity. U\sing the concept of elasticity of demand, explain why the demand for a commodity is said to be elastic.

A. The demand for a commodity is said to be elastic if the percentage change in the quantity demanded is greater than the percentage change in the price of the commodity.

B. The demand for a commodity is said to be elastic if the percentage change in the quantity demanded is less than the percentage change in the price of the commodity.

C. The demand for a commodity is said to be elastic if the percentage change in the quantity demanded is equal to the percentage change in the price of the commodity.

D. The demand for a commodity is said to be elastic if the percentage change in the quantity demanded is greater than the percentage change in the price of the commodity, but only if the commodity is a necessity.

Question 9

A monopolistically competitive firm is characterized by a large number of firms producing a differentiated product. Which of the following is a characteristic of a monopolistically competitive market?

A. A \single firm produces the entire output.

B. Firms produce a homogeneous product.

C. Firms have a large number of close substitutes.

D. Firms produce a differentiated product.

Question 10

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 fixed at 10 and 15 respectively, calculate the average \cost (AC) of producing one unit of output.

A. AC = 10

B. AC = 15

C. AC = 20

D. AC = 25

Question 11

The production function is given by the equation Q = 2K^0.5L^0.5, where Q is the output, K is the capital and L is the labor. If the capital is 100 and the labor is 100, what is the output?

A. 100

B. 200

C. 300

D. 400

Question 12

U\sing the concept of opportunity \cost, explain why a firm may choose to produce a good with a low price elasticity of demand.

A. The firm may choose to produce a good with a low price elasticity of demand because it is a luxury good.

B. The firm may choose to produce a good with a low price elasticity of demand because it is a necessity good.

C. The firm may choose to produce a good with a low price elasticity of demand because it is a substitute for another good.

D. The firm may choose to produce a good with a low price elasticity of demand because it is a complement for another good.

Question 13

A country's inflation rate is 10% per annum. What is the effect on the purcha\sing power of a consumer who has ₦1000 in their pocket?

A. The purcha\sing power of the consumer increases by 10%.

B. The purcha\sing power of the consumer decreases by 10%.

C. The purcha\sing power of the consumer remains unchanged.

D. The purcha\sing power of the consumer fluctuates.

Question 14

A firm is producing a good with a production function Q = 2L^0.5K^0.5. If the firm's current input levels are L = 4 and K = 9, calculate the total product of labor.

A. \( Q = 2L^{0.5}K^{0.5} = 2\( 4 \ \)^{0.5}(9)^{0.5} = 12 )

B. \( Q = 2L^{0.5}K^{0.5} = 2\( 4 \ \)^{0.5}(9)^{0.5} = 24 )

C. \( Q = 2L^{0.5}K^{0.5} = 2\( 4 \ \)^{0.5}(9)^{0.5} = 36 )

D. \( Q = 2L^{0.5}K^{0.5} = 2\( 4 \ \)^{0.5}(9)^{0.5} = 48 )

Question 15

Consider a firm producing two goods, X and Y, with the following production function: Q_x = 2L^0.5K^0.5 and Q_y = 3L^0.25K^0.75. If the firm's current input levels are L = 4 and K = 9, calculate the marginal product of labor for the production of good Y.

A. \( \frac{dQ_y}{dL} = 3L^{-0.75}K^{0.75} \)

B. \( \frac{dQ_y}{dL} = 3L^{0.25}K^{-0.75} \)

C. \( \frac{dQ_y}{dL} = 3L^{0.5}K^{0.5} \)

D. \( \frac{dQ_y}{dL} = 3L^{-0.5}K^{-0.5} \)

POST UTME AAUA 2022 Economics | Objective

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