SOLUTION: A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula below provided that 0 ≤ x &#8804

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Question 124296: A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula below provided that 0 ≤ x ≤ 200.
P=1/10(x)(300-x)

How many ovens must be manufactured in a given week to generate a profit of $2217.60? (If there is only one answer, write it twice.)
_______________ (ovens smaller answer)
_______________ (ovens larger answer)

I don't even know how to go about this problem. Please help!!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula below provided that 0 ≤ x ≤ 200.
P=1/10(x)(300-x)
How many ovens must be manufactured in a given week to generate a profit of $2217.60? (If there is only one answer, write it twice.)
-----------
2217.60 = (1/10)x(300-x)
22176 = 300x-x^2
x^2-300x+22176 =0
(x-168)(x-132) = 0
x = 166 or x=132
----------------------
__132_____________ (ovens smaller answer)
___166____________ (ovens larger answer)
---------------
Cheers,
Stan H.