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Assume that a competitive firm has the total cost function: TC=1q 3 40q 2 +880q+2000 TC=1q3-40q2+880q+2000 Suppose the price of the firm's output (sold in

Assume that a competitive firm has the total cost function:

TC=1q

3

40q

2

+880q+2000

TC=1q3-40q2+880q+2000

Suppose the price of the firm's output (sold in integer units) is $550 per unit.

  1. How many units should the firm produce to maximize profit?
  2. What is the total profit at the optimal output level?

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