A Chair Manufacturing Company Has Two Different Factories $P ( x ) = - 0.05 x ^ { 2 } + 20 x - 500$

Multiple Choice

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