YOU MUST SHOW YOUR WORK 2. Suppose the estimated market demand and market supply curves for a perfectly competitive industry are as follows: Q = 25,000 - 5,000 P+ 25 M Q = 240,000 + 5,000 P- 2,000 Pwhere P is price, M is income, and " is the price of a key input. The forecasts for the next year are M = $9,000 and - $20. Average variable cost for the typical perfectly competitive firm is estimated to be: AVC= 14-0.008Q+ 0.0000020 and Fixed Costs = $6000. a. Find the profit maximizing quantity for this firm at the market price, and calculate profits at the profit maximizing output. b. Should this firm shut down? Explain your answer in words and justify using numbers. c. Depict this result in a graph. Clearly label your ATC, AVC, MC curves and the market price that this firm faces. Depict your profit maximizing output and show the profit/loss that occurs at this output