A Television Manufacturing Company Has Two Different Factories $P ( x ) = - 0.07 x ^ { 2 } + 25 x - 250$

Multiple Choice

A television manufacturing company has two different factories. The profit function for Factory I when x televisions are manufactured and sold is as follows: $P ( x ) = - 0.07 x ^ { 2 } + 25 x - 250$ The profit function for Factory II when x televisions are manufactured and sold is as follows: $P ( x ) = - 0.075 x ^ { 2 } + 35 x - 1500$ For what number of televisions is the profit the same at both factories, and what is the profit?

A) 134 televisions; $1843
B) 233 televisions; $2583.33
C) 125 televisions; $1781.25
D) 0 televisions; $0