WAEC Past Questions and Answers - Page 2821

14,101.

A planet has mass, M, and radius R, If the universal gravitational constant is G, what is the expression for the escape velocity of an object on the planet?

A.

\(\frac{\sqrt{GR}}{2}\)

B.

\(\frac{\sqrt{2GM}}{R}\)

C.

\(\frac{\sqrt{2G}}{R}\)

D.

\(\frac{\sqrt{GM}}{R}\)

Correct answer is B

The expression for the escape velocity \(v_e\) of an object from a planet of mass M and radius R using the universal gravitational constant G is:


\(v_e = \frac{\sqrt{2GM}}{R}\)
 

14,102.

If the average fixed cost (AFC) of producing 5 bags of rice is $20.00, the average fixed cost of producing 10 bags will be

A.

$2.00

B.

$4.00

C.

$10.00

D.

$20.00

Correct answer is C

Average fixed cost decreases as the number of output increases. Hence, if a firm spent $20 to produce 5 bags of rice, when it increases the output level to 10 bags of rice the cost will not change because it is a fixed cost, but rather, the same amount of fixed costs will be spread over a larger number of units of output.

Hence, the $20 cost that was used to produce 5 bags of rice, will accommodate the new level of output.

If 5 bags were produced at $20

Then 10 bags will also be produced at $20 cost

TFC = AVC x Q
$20 x 5 bags x = $100

AVC = \(\frac{TFC}{Q}\)


AVC for 10 bags =

\(\frac{100}{10}\) = $10.00

14,103.

One feature of the average fixed cost is that it

A.

Falls continuously but is never equal to zero

B.

Is U-shaped and intersects the Y-axis

C.

Rises and falls faster than the marginal cost

D.

Is always higher than the average variable cost

Correct answer is A

The average cost curve keeps falling as the level of output rises. It remains positive, and never reaches a zero value, and never turns negative.

14,104.

Increasing returns to scale suggests that

A.

A firm can make a profit by reducing output

B.

A firm can make more profit by increasing output

C.

As the producer reduces the quantity of raw materials used, the marginal product will double

D.

As the producer increases the quantity of raw materials used, the marginal product will fall

Correct answer is B

Increasing returns to scale is when the output increases in a greater proportion than the increase in input.

14,105.

A large firm may experience diseconomies of scale if there is

A.

Difficulty in coordinating decisions

B.

Division of labourĀ in production

C.

Employment of more specialist

D.

Decrease in the cost of production

Correct answer is A

Diseconomies of scale occur when a firm or business grows so big that the costs per unit of output increase. If the firm becomes so large that it can no longer efficiently coordinate production activities, it will most likely experience diseconomies of scale.