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

Question 284

Multiple Choice

Solve the problem.
-A television manufacturing company has two different factories. The profit function for Factory I when xx televisions are manufactured and sold is as follows:
P(x) =0.07x2+25x250P ( x ) = - 0.07 x ^ { 2 } + 25 x - 250
The profit function for Factory II when xx televisions are manufactured and sold is as follows:
P(x) =0.075x2+35x1500P ( x ) = - 0.075 x ^ { 2 } + 35 x - 1500
For what number of televisions is the profit the same at both factories, and what is the profit?


A) 233 televisions; $2583.33\$ 2583.33
B) 134 televisions; $1843\$ 1843
C) 0 televisions; $0\$ 0
D) 125 televisions; $1781.25\$ 1781.25

Correct Answer:

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