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 $1,800? (Remember: The equation for revenue is R xp)

1 Answer
Feb 6, 2018

p=3,6

Explanation:

If we know that x=900-100p and R=xp, we have x in terms of p and can solve for p:

R = xp
R= (900-100p)p
R=900p-100p^2
1800 = 900p-100p^2
100p^2-900p+1800=0

Factor this equation to get values for p:

p^2-9p+18=0
(p-6)(p-3)=0
p=3,6

To verify:

If p=3
x=900-100p
x=600

R=3*600=1800 So p=3 works

If p=6
x=900-100p
x=300

R=6*300 = 1800 So p=6 works

Hope this helps!