WAEC Economics 2021 Theory question 102

Theory question 102

Market Structures

Table 2 below shows the unit prices and quantities of hats produced by a firm. Study it and answer the questions that follow.
Quantity | Unit Price ($) | Total Revenue ($) | Marginal Revenue ($) | Average Revenue ($)
10 | 180 | 1,800 | – | 180
20 | 150 | 3,000 | 120 | X
30 | U | 3,600 | 60 | 120
40 | 100 | V | W | Y
50 | 80 | 4,000 | 0 | 80
60 | 60 | 3,600 | −40 | 60
(a) Compute the values of U, V, W, X and Y.
(b) In what type of market is the firm operating? Explain your answer.
(c) If the firm's marginal cost is $60.00 at all levels of output, at what level of output will it be in equilibrium? Explain your answer.
(d) If a total cost of $600.00 is incurred when 50 units of hats are produced, determine the margin of profit or loss made.
(e) What is another name for marginal cost?

Show the model answer
Model answer

(a) U = 3,600 ÷ 30 = $120; V = 100 × 40 = $4,000; W = (4,000 − 3,600) ÷ 10 = $40; X = 3,000 ÷ 20 = $150; Y = 4,000 ÷ 40 = $100
(b) Imperfect competition (monopoly/monopolistic competition): price falls as more is sold, so AR slopes downward and MR is below AR.
(c) At 30 units, where MR = MC = $60; producing more would add less to revenue than to cost.
(d) At 50 units: TR = $4,000, TC = $600; profit = 4,000 − 600 = $3,400.
(e) Incremental cost (also called differential cost).

Explanation

MR is per unit, so divide each change in TR by the change in quantity (10).