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Using the table: Revenue and Cost for a Perfectly Competitive Firm
Using the table: Revenue and Cost for a Perfectly Competitive Firm. What is the Quantity that maximizes profit?
Select one:
a. 0
b. 8
c. 10
d. 9
Revenue and Cost for a Perfectly Competitive Firm
| P | Q | TR | MR | TC | MC | Profit |
|---|---|---|---|---|---|---|
| 50 | 0 | 20 | ||||
| 50 | 1 | 50 | 32 | |||
| 50 | 2 | 50 | 48 | |||
| 50 | 3 | 50 | 68 | |||
| 50 | 4 | 50 | 92 | |||
| 50 | 5 | 50 | 120 | |||
| 50 | 6 | 50 | 152 | |||
| 50 | 7 | 50 | 188 | |||
| 50 | 8 | 50 | 228 | |||
| 50 | 9 | 50 | 270 | |||
| 50 | 10 | 50 | 320 | |||
| 50 | 11 | 50 | 372 | |||
| 50 | 12 | 50 | 428 | |||
| 50 | 13 | 50 | 488 |
Expert Solution
c. 10 units
Reason:
A firm seeks to maximise its profit at the level where the MR = MC.In a perfectly competitive market, the firm will produce the level of output where the equality between MR and MC is attained where,
TR = Price * units of output
MR = TRn- TRn-1, where n depicts the number of units
MC= TCn - TCn-1
Profit = TR-TC
If we compute the values based on the above formulas, we see that, at 10 units of output, the MR = MC. At this level, the total revenue = $500, while the total cost = $320, which makes the total profit = $180. Hence we see that the firm will maximise its profit by producing 10 units of output.
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