Suppose you are the COO of a dairy farm that produces cheese. In doing your research you found that you could sell x wheels of cheese at a price of p(x) = 400 − 4x. Suppose that the dairy farm has costs each month that can be modeled by the equation C(x) = 2x 2 − 1500x + 5, 150. Answer the following:

(a) Find the revenue for producing 100 wheels of cheese.

(b) Find the cost of producing 56 wheels of cheese.   .

(c) How many wheels of cheese could you expect to sell if you set a price of $175.

(d) How many wheels of cheese must the dairy sell to break even.

(e) Find the maximum profit.