How to find how much output to produce given a cost function in Google Sheets
Assume that a competitive firm has the total cost function:
TC = 1q^3 - 40q^2 + 820q + 1900
Suppose the price of the firm's output (sold in integer units) is $600 per unit.
Create tables (but do not use calculus) with columns representing cost, revenue, and profit to find a solution.
How many units should the firm produce to maximize profit?
Please specify your answer as an integer.