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

Multiple Choice

Solve the problem.
-A chair manufacturing company has two different factories. The profit function for Factory I when $x$ chairs 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) 200 chairs; $\$ 1500$
C) 0 chairs; $\$ 0$
D) 300 chairs; $\$ 2000$