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Solve the Problem xx Chairs Are Manufactured and Sold Is as Follows

question 219

Multiple Choice

Solve the problem.
-A chair manufacturing company has two different factories. The profit function for Factory I when xx chairs are manufactured and sold is as follows:
P(x) =0.05x2+20x500P ( x ) = - 0.05 x ^ { 2 } + 20 x - 500
The profit function for Factory II when xx chairs are manufactured and sold is as follows:
P(x) =0.05x2+30x2500P ( 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?

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