Assume that a competitive firm has the total cost function:

TC=1q

3

40q

2

+820q+1900

TC=1q3-40q2+820q+1900

Suppose the price of the firm's output (sold in integer units) is $650 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.