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

Assume that a competitive firm has the total cost function:

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

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

Using tables (but not calculus) to find a solution, how many units should the firm produce to maximize profit?

Please specify your answer as an integer.

Please show your explanation so I can follow