lAURA OWNS A PIE COMPANY. SHE HAS LEARNED THAT HER PROFITS, P(X), FROM THE SALE OF X CASES OF PIES ARE GIVEN BY P(X)= 150X - X^2.

(A) HOW MANY CASES OF PIES SHOULD SHE SELL IN ORDER TO MAXIMIZE PROFIT?

(B) WHAT IS THE MAXIMUM PROFIT?