Suppose a perfectly competitive firm with total cost function given as: TC= 400+20Q-2Q2+ 2 3Q 3 . A. Find profit maximizing level of output and the maximum profit if the average revenue equals $180. B. Calculate the shutdown level of output and price

Suppose a perfectly competitive firm with total cost function given as:
TC= 400+20Q-2Q2+
2
3Q
3

. A. Find profit maximizing level of output and the maximum profit if the average revenue
equals $180.
B. Calculate the shutdown level of output and price