2. Farmer X figures that her fixed costs are $2,000, and the relevant portion of her total cost curve is:
Thousands of Total Cost
Bushels (in thousands of dollars)
10 10.70
11 11.45
12 12.25
13 13.10
14 14.00
15 15.00
16 16.10
17 17.32
18 18.75
19 20.30
2.1. Calculate Farmer X’s schedules of average cost, marginal cost, total variable cost, and average variable cost.
2.2. If Farmer X is a perfect competitor, what level of output should she produce, and what will her profits be, if the market price is:
(i) $1.50 (iii) $0.92
(ii) $1.00 (iv) $0.82
Output | TC | TVC=TC-2000 | AC=TC/Q | MC=change in TC | AVC=VC/Q |
10 | 10700 | 8700 | 1070 | 870 | |
11 | 11450 | 9450 | 1040.909091 | 750 | 859.0909091 |
12 | 12250 | 10250 | 1020.833333 | 800 | 854.1666667 |
13 | 13100 | 11100 | 1007.692308 | 850 | 853.8461538 |
14 | 14000 | 12000 | 1000 | 900 | 857.1428571 |
15 | 15000 | 13000 | 1000 | 1000 | 866.6666667 |
16 | 16100 | 14100 | 1006.25 | 1100 | 881.25 |
17 | 17320 | 15320 | 1018.823529 | 1220 | 901.1764706 |
18 | 18750 | 16750 | 1041.666667 | 1430 | 930.5555556 |
19 | 20300 | 18300 | 1068.421053 | 1550 | 963.1578947 |
A perfectly competitive firm produces until P>=MC
if price is
i)1.5 the firm will produce 18000 units
ii)0.92 the firm will produce 14000 units
ii)1 the firm will produce 15000 units
iv)0.82 the firm will produce 12000 units
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