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=1300−100p. At wha

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Question 1054868: 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=1300−100p. At what price should the company sell the ribbons if it wants the weekly revenue to be $4,200?
(Remember: The equation for revenue is R=xp.)
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!


(1)
(2)
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(1)
(2)
(2)
(2)
Complete the square
(2)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
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and
(1)
(1)
(1)
The price/ribbon is $6
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check:
(2)
(2)
(2)
(2)
and
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(1)
(1)
OK
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
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=1300−100p. At what price should the company sell the ribbons if it wants the weekly revenue to be $4,200?
(Remember: The equation for revenue is R=xp.)
R = xp

4,200 = p(1,300 - 100p) ------- Substituting 4,200 for R and 1,300 - 100p for x





 ------ Factoring out GCF, 100



(p - 7)(p - 6) = 0

p, or price of each ribbon in order to realize revenue of $4,200:  

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