Solve the Problem $P ( x ) = - 10 x ^ { 2 } + 1,900 x - 34,000$

Multiple Choice

Solve the problem.
-An automobile manufacturer can produce up to 300 cars per day. The profit made from the sale of these vehicles can be modeled by the function $P ( x ) = - 10 x ^ { 2 } + 1,900 x - 34,000$ where P(x) is the
Profit in dollars and x is the number of automobiles made and sold. How many cars should be made
And sold to maximize profit?

A) 1,900
B) 95
C) 45
D) 190