In: Economics
Quantity (units)  | Total cost (dollars)  | 
0  | 3  | 
1  | 6  | 
2  | 12  | 
3  | 21  | 
4  | 33  | 
5  | 49  | 
The above table gives the quantity of output and the total cost for a perfectly competitive firm that can sell all of its output at $9 per unit
a) Find the profit maximizing level of output for this firm.
(Show your work and explain). (3 points) (world limit: 100)
b) How much economic profit is the firm making?(Show your work and explain) (3 points) (world limit: 100)
a.) For profit-maximizing level of output, we need to equate Marginal revenue to Marginal cost. Since perfectly competitive firm can sell all its output $9 per unit, it means it's average revenue and marginal revenue both are same which is horizontal to output at $9 .
| Output | Marginal Cost | 
| 0 | -- | 
| 1 | 3 | 
| 2 | 6 | 
| 3 | 9 | 
| 4 | 12 | 
| 5 | 16 | 
Note= formula used , Marginal Cost(n) = Total Cost(n) - Total Cost(n-1)
Therefore, profit-maximizing level output is 3 units.
b.) Economic profit = total revenue - total cost
= Quantity×Price - total cost
= 3×9 - 21
= 27 - 21
= $6