PERFECT COMPEITION EXAMPLE

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The following data represents a cost function of a perfect competitive firm:

TP or Q

AFC

AVC

ATC

MC

0

1

60

45

105

45

2

30

42.5

72.5

40

3

20

40

60

35

4

15

37.5

52.5

30

5

12

37

49

35

6

10

37.5

47.5

40

7

8.57

38.57

47.14

45

8

7.5

40.63

48.13

55

9

6.67

43.33

50

65

10

6

46.5

52.5

75

       
         
If the market price, P < 37; this firm's output  Q = 0; firm's economic profit, EP = -60        
         
If the market price, P > 37, this firm's output  Q > 0; firms' economic profit , EP= TR - TC.        
         
For example, when P = 65, Q = 9, EP = $65 x 9 - 50 X 9 = 135        
         
       
       
       

I

By given the market demand at various price level, a market equilibrium price could be found.

PRICE

Qs (1 firm's output)

PROFIT

Qs(1500 firms in the market)  / market supply

Qd / market demand

26

0

-60

0

17000

32

0

-60

0

15000

38

5

-55

7500

13500

41

6

-39

9000

12000

46

7

-8

10500

10500

56

8

63

12000

9500

66

9

144

13500

8000

(assuming identical cost function for all firms)

One firm's output level (column 2 in the above table) is obtained by comparing  P and MC. Since all firms are having the same cost function, the market output level is the sum of individual firms' output (column 4 in the above table).

By comparing the market supply and market demand, we can find the market equilibrium at:

P= 46 and  Q = 10500

At this level, each firm is losing 8 dollars, indicating a contraction in this industry. Some firms may leave in the long run, causing the market supply to decrease and equilibrium price will increase to the break-even level.

 

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