. Suppose a perfectly competitive, profit-maximizing firm has the following short-run total cost function; SRTC= Q 3 - 6 Q 2 + 12Q + 25 a. What is the firm's fixed cost? b. What is the firm's short-run average variable cost (AVC) function? What is the firm's short-run marginal cost (SMC) function? c. At what level of output does AVC curve reach its minimum? d. If the market price for the product is $1, what is the firm's profit maximizing output? How do you know? (Hint: Keep in mind your answer in part (c)). e. If the price of product is $12, what is the firm's profit maximizing output? Show your work.