Use a Graphing Calculator to Solve the Nonlinear System $x$ Are Manufactured and Sold Is as Follows

Multiple Choice

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
-A chair manufacturing company has two different factories. The profit function for Factory I when $x$ are manufactured and sold is as follows:
$$P ( x ) = - 0.05 x ^ { 2 } + 20 x - 500$$
The profit function for Factory II when $x$ chairs are manufactured and sold is as follows:
$$P ( x ) = - 0.05 x ^ { 2 } + 30 x - 2500$$
For what number of chairs is the profit the same at both factories, and what is the profit?

A) 100 chairs; $\$ 1000$
B) 0 chairs; $\$ 0$
C) 300 chairs; $\$ 2000$
D) 200 chairs; $\$ 1500$ hairs300)