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. Find the maximum possible daily profit.

A) $8,075
B) $9,448
C) $10,125
D) $15,275