Use a Graphing Calculator to Solve the Nonlinear System $$P ( x ) = - 0.07 x ^ { 2 } + 25 x - 250$$

Multiple Choice

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
-A television manufacturing company has two different factories. The profit function for Factory I wl 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) 125 televisions; $\$ 1781.25$
D) 0 televisions; $\$ 0$ when x301)