SOLUTION: Tropical pools figures that its monthly revenue on the sale of ‘x’ pools is given by R = 1500x – 3x2 where ‘x’ is less than 25. What number of pools sold will provide revenue of $1

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Question 210960: Tropical pools figures that its monthly revenue on the sale of ‘x’ pools is given by R = 1500x – 3x2 where ‘x’ is less than 25. What number of pools sold will provide revenue of $17,568?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
R+=+1500x-3x%5E2 where x%3C25 Substitute R = 17,568 and solve for x.
17568+=+1500x-3x%5E2 Rearrange into standard quadratic form.
3x%5E2-1500x%2B17568+=+0 Divide through by 3 to ease the calculations a bit.
x%5E2-500x%2B5856+=+0 Factor.
%28x-488%29%28x-12%29+=+0 so...
x+=+488 or x+=+12 but x+%3C+25, so...
highlight%28x+=+12%29 is the answer.