You plan to open a fudge shop.  You will plan to start with three types of signature fudge.  The first type is peanut fudge which must contain at least 30% nuts.  The second type of fudge is chocolate cheesecake which must contain at least 10% chocolate and 30% dairy.  The final type of fudge is Turtle fudge which must contain 25% chocolate and 10% nuts.  The fudges sells for $10, $12, and $14 a pound respectively.  The ingredients for all three are sugar, dairy, nuts, and chocolate.  There are 4000 lbs of sugar available, 3000 lbs of nuts, 1200 lbs of chocolate, and 2000lbs of dairy.   You can sell up to 1000lbs of peanut fudge, and all you can make of the other two. Create a plan to maximize profits.

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter9: Math Models And Geometry
Section9.2: Solve Money Applications
Problem 76E: Parent Volunteer Laurie was completing the treasurer’s report for her son’s Boy Scout troop at the...
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You plan to open a fudge shop.  You will plan to start with three types of signature fudge.  The first type is peanut fudge which must contain at least 30% nuts.  The second type of fudge is chocolate cheesecake which must contain at least 10% chocolate and 30% dairy.  The final type of fudge is Turtle fudge which must contain 25% chocolate and 10% nuts.  The fudges sells for $10, $12, and $14 a pound respectively.  The ingredients for all three are sugar, dairy, nuts, and chocolate.  There are 4000 lbs of sugar available, 3000 lbs of nuts, 1200 lbs of chocolate, and 2000lbs of dairy.   You can sell up to 1000lbs of peanut fudge, and all you can make of the other two. Create a plan to maximize profits. 

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