In: Economics
Assume that a competitive firm has the total cost function: TC=1q3−40q2+890q+1800 Suppose the price of the firm's output (sold in integer units) is $600 per unit. Using tables (but not calculus) to find a solution, what is the total profit at the optimal output level? Please specify your answer as an integer. STUDENT NOTE: I already know the answer, but can you help me with how to calculate the numbers under Total Cost. I know where 2651 comes from but I dont understand how to get the rest under this column.
| Q | TC | MC |
| 0 | 1800 | |
| 1 | 2651 | 851 |
| 2 | 3428 | 777 |
| 3 | 4137 | 709 |
| 4 | 4784 | 647 |
| 5 | 5375 | 591 |
| 6 | 5916 | 541 |
| 7 | 6413 | 497 |
| 8 | 6872 | 459 |
| 9 | 7299 | 427 |
| 10 | 7700 | 401 |
| 11 | 8081 | 381 |
| 12 | 8448 | 367 |
| 13 | 8807 | 359 |
| 14 | 9164 | 357 |
| 15 | 9525 | 361 |
| 16 | 9896 | 371 |
| 17 | 10283 | 387 |
| 18 | 10692 | 409 |
| 19 | 11129 | 437 |
| 20 | 11600 | 471 |
| 21 | 12111 | 511 |
| 22 | 12668 | 557 |
| 23 | 13277 | 609 |
| 24 | 13944 | 667 |