*Profit

by **larhea** Mon Nov 17, 2008 8:51 pm

The Math Anxiety Club has determined that the cost, C, to make "X" dozen cookies can be estimated by the formula C=Xto the 2 -77X -160. they expect the supplies to cost $80. If they sell all the cookies for $.25 each, how much profit can they plan on making?

by RR Tue Nov 18, 2008 2:40 pm

Cost C to make x dozen cookies is given by the formula

C = x^2 - 77x - 160

Given that supplies cost (ie C) is 80

80 = x^2 - 77x - 160
x^2 - 77x - 240 = 0
Solving for x
(x - 80) (x + 3) = 0
x = 80 or x = -3
Number of dozens of cookies cannot be negative. There x = 80

Selling price = price per cookie * number of cookies
Selling price = .25 * (80 * 12)
Selling price = 240

Cost price is 80

Profit is 240 - 80 = 160

by **RonPurewal** Sat Nov 29, 2008 8:14 am

larhea, where are you getting these problems?

i have moved the problem to the general math folder. if you don't provide the source of the problem, we will delete the thread.

thanks.