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March 4th, 2009, 03:17 PM  #1 
Newbie Joined: Mar 2009 Posts: 1 Thanks: 0  Setting Up Minimizing Word Problem
I know how to solve this I just cannot seem to get it set up right, I have been working on this FOREVER please help! A small ice cream shop makes two special flavors each week. They must make a total of 100 cases per week to meet customer demand. One case of Pecan Supreme must be made for every 4 cases of Strawberry Cheesecake. If it costs $20 to make a case of Pecan Supreme and $15 to make a case of Strawberry Cheesecake, how many cases of each should be produced each week to minimize the cost? What is the minimum cost? 
March 4th, 2009, 03:38 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Setting Up Minimizing Word Problem
Just choose the smallest number of cases of pecan ice cream possible, subject to having at least 1/5 of the total being pecan ice cream (thus being 1/4 the amount of strawberry).


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