Question

In: Economics

The following table indicates the average total cost of producing varying quantities of output from 3...

The following table indicates the average total cost of producing varying quantities of output from 3 different plants:

Output

10

20

30

40

50

60

70

80

Small firm

6,000

5,000

4,000

5,000

6,000

7,000

8,000

9,000

Medium firm

8,000

6,500

5,000

3,500

3,000

4,000

5,000

6,000

Large firm

10,000

9,000

7,500

6,000

4,000

2,500

3,000

3,500

  1. Plot the ATC curves for all three firms on a graph.
  1. What size plant should be used to produce 30 units of output? Explain.
  1. What size plant(s) should be used to produce 60 units of output? Explain.
  1. Are there economies of scale in these plant size choices? Explain where and label on graph above.

Solutions

Expert Solution

(a) The following table describes the ATC of firms.

Output Small firms Medium firm Large firm
10 6000 8000 10000
20 5000 6500 9000
30 4000 5000 7500
40 5000 3500 6000
50 6000 3000 4000
60 7000 4000 2500
70 8000 5000 3000
80 9000 6000 3500

(b) Small firms should be used to produce 30 units of output because small firm produces 30 units at lower ATC than other firms.

(c) Large firms should be used to produce 60 units of output because large firm produces 60 units at lower ATC than other firms.

(d) Economies of scales occur when there is a fall in ATC as output rises.

For small firms, economies of scale occur from 10 units of output to 30 units of output.

For medium-firm, economies of scale occur from 10 units of output to 50 units of output

For large firms, economies of scale occur from 10 units of output to 60 units of output.


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