Assume that the short-run cost and demand data given in the table below confront a monopolistically competitive firm selling a given product and engaged in a given amount of product promotion. Compute the marginal cost and marginal revenue of each unit of output and enter these figures in the table.
Total Marginal Quantity Marginal
Output cost cost demanded Price revenue
0 $ 75 0 $180
1 120 $_____ 1 165 $_____
2 135 _____ 2 150 _____
3 165 _____ 3 135 _____
4 210 _____ 4 120 _____
5 270 _____ 5 105 _____
6 345 _____ 6 90 _____
7 435 _____ 7 75 _____
8 540 _____ 8 60 _____
9 660 _____ 9 45 _____
10 795 _____ 10 30 _____
(a) At what output level will the firm produce in the short
run?
(b) What will be the price?
(c) What will be the total profit?
(d) What will happen to demand, price, and profit in the long run?
Be specific and show using a graph.
Output | Total Cost | Marginal Cost | Quantity Demanded | Price | Total Revenue | Marginal Revenue | ||
0 | 75 | 0 | 180 | 0 | ||||
1 | 120 | 45 | 1 | 165 | 165 | 165 | ||
2 | 135 | 15 | 2 | 150 | 300 | 135 | ||
3 | 165 | 30 | 3 | 135 | 405 | 105 | ||
4 | 210 | 45 | 4 | 120 | 480 | 75 | ||
5 | 270 | 60 | 5 | 105 | 525 | 45 | ||
6 | 345 | 75 | 6 | 90 | 540 | 15 | ||
7 | 435 | 90 | 7 | 75 | 525 | -15 | ||
8 | 540 | 105 | 8 | 60 | 480 | -45 | ||
9 | 660 | 120 | 9 | 45 | 405 | -75 | ||
10 | 795 | 135 | 10 | 30 | 300 | -105 | ||
a) The firm will produce till marginal reveue is greater than the marginal cost. Thus the firm will | ||||||||
produce 4 nits of output. | ||||||||
b) Price corresponding to equilibrium output will be $120 | ||||||||
c) Profit = Total Revenue - Total Cost | ||||||||
Profit = 480 - 210 = $270 | ||||||||
d) In the long run due to positive profit there will be increased entry in the industry. This will lead to | ||||||||
reduction in the prices thus higher demand and zero profit. |
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