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)

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Answer 1 · 2018-02-06T22:59:21

#p=3,6#

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!