SOLUTION: A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:
x = 900 - 100p
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Question 1120266: A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:
x = 900 - 100p
At what price should the company sell the ribbons if it wants the weekly revenue to be $2,000?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Weekly revenue is the price times the number sold, so
\ =\ xp)
But we have a relation in 
that describes 
, so we can write an expression for revenue as a function of price:
\ =\ \(900\ -\ 100p)p)
or
\ =\ -100p^2\ +\ 900p)
We want the revenue to be $2,000, so:
Solve the quadratic for . Hint: This is a quadratic equation with two positive roots, therefore there are two equally correct answers to the question as posed.
John
My calculator said it, I believe it, that settles it
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