Math economics

Suppose that a firm has a total cost function given by TC (9)- 2 + 9 40 a) If the firm maximizes profit in a perfectly competitive market, how much will it produce when p - 20? b) Calculate the difference in profits for this firm if price increases from p - 20 to, p - 95? c) Using Envelope theorem, enter an expression for the change in profit due to change in price (p). 80.25 x Incorrect Show Your Attempts v Change in Profit = 2246.25 x Incorrect Show Your Attempts v dProfit*/dp =