SOLUTION: Problem: The revenue, R, of an electronics manufacturer for selling x handheld organizers is given by R=0.25x^2-100x. The revenue of a competing manufacturer for selling similar pr

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Question 164042This question is from textbook Introductory and intermediate algebra through applications
: Problem: The revenue, R, of an electronics manufacturer for selling x handheld organizers is given by R=0.25x^2-100x. The revenue of a competing manufacturer for selling similar products is R=75x.
Under what circumstances will both manufacturers have the same revenue?
This question is from textbook Introductory and intermediate algebra through applications

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Set the two given equations equal to each other and solve for x:
0.25x^2-100x = 75x
0.25x^2-100x-75x = 0
0.25x^2-175x = 0
0.25x(x-700) = 0
.
x = {0, 700}
.
Conclusion,
They have the same revenue if they both sell 0 or 700.