Solve the Problem $x$ Televisions Are Manufactured and Sold Is as Follows

Multiple Choice

Solve the problem.
-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) 233 televisions; $\$ 2583.33$
B) 134 televisions; $\$ 1843$
C) 0 televisions; $\$ 0$
D) 125 televisions; $\$ 1781.25$