The Daily Profit in Dollars Made by an Automobile Manufacturer $P ( x ) = - 45 x ^ { 2 } + 2,250 x - 18,000$

Multiple Choice

The daily profit in dollars made by an automobile manufacturer is $P ( x ) = - 45 x ^ { 2 } + 2,250 x - 18,000$ where x is the number of cars produced per shift. How many cars must be produced per shift for the company to maximize its profit?

A) 20
B) 25
C) 35
D) 30