In: Economics
Notice that the table is partial and doesn't start at 0, and also that it doesn't go in increments of one at a time (so marginal values are approximations rather than exact).
The firm sells its output for P = $6.50. See below:
| Quantity | Total Revenue  | 
Marginal Revenue  | 
Total Cost  | 
Marginal Cost  | 
Profits | 
| 200 | $1000 | -- | |||
| 300 | A | $1550 | |||
| 400 | $2150 | D | |||
| 500 | B | $2800 | |||
| 600 | C | $7 | 
What will the firm's profits or losses be at the profit-maximizing (loss-minimizing) quantity? Carefully follow all numeric instructions. Indicate profits with a positive number (no sign) and losses with a negative number (with negative sign).
| Quantity | Total | Marginal | Total | Marginal | Profits | 
| Revenue | Revenue | Cost | Cost | ||
| 200 | 1300 | $1000 | 300 | ||
| 300 | 1950 | 6.5 | $1550 | 5.5 | 400 | 
| 400 | 2600 | 6.5 | $2150 | 6 | 450 | 
| 500 | 3250 | 6.5 | $2800 | 6.5 | 450 | 
| 600 | 3900 | 6.5 | $3500 | 7 | 400 | 
MR=P
MC = change in Cost/change in Q
So, profit is maximum where MC=MR at Q = 500, where profit = $450