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Assume that a competitive firm has the total cost function: TC=1q3−40q2+890q+1800 Suppose the price of the...

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

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