Problem: Use the following equations to demonstrate why a firm producing at the output level where MR = MC will also be able to maximize its total profit (i.e., be at the point where marginal profit is equal to zero). Note: To prove this, you must first present the algebraic expression for the profit function, and then the first-order condition to verify your answer.
P = 170 - 5Q
TC = 40 + 50Q + 5Q2