Solve the Problem $x$ 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 $x$ 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; \(\$ 2000\)

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Definitions:

Net Sales

The total revenue from sales of goods or services minus returns, allowances, and discounts.