My Math Forum Setting Up Minimizing Word Problem

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 March 4th, 2009, 02:17 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, 02:38 PM #2 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 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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