A perfectly competitive industry is composed of 100 identical firms with cost structure:   q          TC          VC          FC          AVC          ATC          MC   0           4 1           8 2          10 3          14 4          20 5          28 6          38     b) Assuming that the market price is p = 8, what are the quantity produced by each firm and the profit it makes?

Economics (MindTap Course List)
13th Edition
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter22: Perfect Competition
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A perfectly competitive industry is composed of 100 identical firms with cost structure:

 

q          TC          VC          FC          AVC          ATC          MC

 

0           4

1           8

2          10

3          14

4          20

5          28

6          38

 

 

b) Assuming that the market price is p = 8, what are the quantity produced by each firm and the profit it makes?

 



Expert Solution
Step 1

The variable cost can be calculated by using the below formula:

Economics homework question answer, step 1, image 1

If Q is 1 and TC is 8, then the variable cost can be calculated by using equation (1) as follows:

Economics homework question answer, step 1, image 2

The average variable cost can be calculated by using the below formula:

Economics homework question answer, step 1, image 3

If Q is 1 and VC is 4, then the average variable cost can be calculated by using equation (2) as follows:

Economics homework question answer, step 1, image 4

 

 

Step 2

The average total cost can be calculated by using the below formula:

Economics homework question answer, step 2, image 1

If Q is 1 and TC is 8, then the average total cost can be calculated by using equation (3) as follows:

Economics homework question answer, step 2, image 2

Marginal cost can be calculated by using the below formula:

Economics homework question answer, step 2, image 3

If Q is 1, then the marginal cost can be calculated by using equation (4) as follows:

Economics homework question answer, step 2, image 4

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