In: Economics
Quantity  | Total Cost  | 
0  | 100  | 
1  | 102  | 
2  | 116  | 
3  | 154  | 
4  | 228  | 
5  | 350  | 
6  | 532  | 
7  | 786  | 
8  | 1124  | 
Use the table above to answer the following question.
Assume a perfectly competitive firms cost structure is given by the table above, and that the market price in this industry is $58. If the firm is profit maximizing, how much should they produce?
It shall be noted that the market structure is Perfect competition.
The equilibrium in perfect comeptition is given by: P = MC, for profit maximization
As long as P > MC, the perfectly competitive firm should increase the production, but as soon as P < MC, it should stop the production.
The data as provided is as follows:
| Quantity | Total Cost | P | MC | 
| 0 | 100 | 58 | - | 
| 1 | 102 | 58 | 2 | 
| 2 | 116 | 58 | 14 | 
| 3 | 154 | 58 | 38 | 
| 4 | 228 | 58 | 74 | 
| 5 | 350 | 58 | 122 | 
| 6 | 532 | 58 | 182 | 
| 7 | 786 | 58 | 254 | 
| 8 | 1124 | 58 | 338 | 
The marginal cost (MC) is the change in total cost with the increase in production of output by 1 unit.
Thus, marginal cost MC column has been provided.
It shall be observed that at Quantity = 3, MC = 38 and P = 58 and thus, P > MC
But as soon as Quantity = 4, MC = 74, which is higher than P=58
Thus, the firm shopuld not produce Quantity=4
Hence, the perfectly comeptitive firm should produce Quantity = 3
Thus, equilibrium profit maximizing Quantity is 3
Thus, the firm should produce 3 units of output