I'm completely lost, please help

SeekerofKnowledge

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Nov 11, 2005
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For your class fund-raiser you've decided to sell cookies. You are going to make three types of cookies: plain, iced, and chocolate chip. One dozen of the plain cookies requires 6 pounds of cookie mix. One dozen of the iced cookies require 1 pound of cookie mix and 4 pounds of icing mix. One dozen of the chocolate chip cookies requires 8 pounds of cookie mix and 3 pounds of chocolate chips. You have 120 pounds of cookie mix, 32 pounds of icing mix, and 25 pounds of chocolate chips available. You plan to sell the plain cookies for $6.00 a dozen, and it costs $4.50 a dozen to make those cookies. The iced cookies sell for $7.00 to make. How many of each type of cookie should you make in order to make as much money as possible? What is your maximum profit?

I guess my main problem is making a three-dimensional graph to find the feasible region. Well anyways, any help is much appreciated. Thank you for taking your time to help me.
 
cookies

Your right about the graph
If you plug it into a graphing calculator then you should have three graphs and need to find the maximums of each graph. I would try to make the x-axis $ profit, etc and the y-axis the lbs or quantity of cookies.
Make three graphs x + y
y= lbs of cookies
x= price

hope this helps
 
Hello, Seeker!

Some information is garbled or missing . . .

For your class fund-raiser you've decided to sell cookies.
You are going to make three types of cookies: plain, iced, and chocolate chip.
One dozen of the plain cookies requires 6 pounds of cookie mix.
One dozen of the iced cookies require 1 pound of cookie mix and 4 pounds of icing mix.
One dozen of the chocolate chip cookies requires 8 pounds of cookie mix and 3 pounds of chocolate chips.

You have 120 pounds of cookie mix, 32 pounds of icing mix, and 25 pounds of chocolate chips available.

You plan to sell the plain cookies for $6.00 a dozen, and it costs $4.50 a dozen to make those cookies.
The iced cookies sell for $7.00 to make. . . . ??

And what about the chocolate chip cookies?


How many of each type of cookie should you make in order to make as much money as possible?
What is your maximum profit?
 
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