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 At

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 At       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!


Weekly revenue is the price times the number sold, so



But we have a relation in that describes , so we can write an expression for revenue as a function of price:



or



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