09_hw1 - MS&E 211 Fall 2009 Linear and Nonlinear...

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Unformatted text preview: MS&E 211 Fall 2009 Linear and Nonlinear Optimization Sep 24, 2009 Prof. Yinyu Ye Homework Assignment 1: Due 3:15pm Tuesday, Oct 6, 2009 There is a homework collecting box outside of professor Ye’s office (Terman 316) for you to submit your homework. No late homework accepted! Problem 1 LLYQ (Leila, Lawrence, Yihan, and Qi) ice cream Co. is producing three flavors of ice cream: vanilla, mint chip, and chocolate. These products are manufactured using common ingredients: milk, eggs, and pre-made powder with unit prices $5, $3, and $10 respectively. The three products also rely on common manufacturing processes: mixing and freezing(The mixing of a batch doesn’t have to precede its freezing process, i.e., there isn’t a sequential issue for mixing and freezing). The cost is $1 . 5 per hour per gallon for mixing, and $1 per hour per gallon for freezing. Production of a gallon of vanilla ice cream requires 3 units of milk, 2 units of eggs, 1 unit of pre-made powder, 2 hours of mixing, and 5 hours of freezing. Production of a gallon of mint chip ice cream requires 4 units of milk, 1 . 5 units of eggs, 0 . 5 units of pre-made powder, 2 hours of mixing, and 4 hours of freezing. Production of a gallon of chocolate ice cream requires 3 . 5 units of milk, 1 unit of eggs, 1 . 5 units of pre-made powder, 1 hour of mixing,...
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This note was uploaded on 01/13/2011 for the course MS&E 211 taught by Professor Yinyuye during the Fall '07 term at Stanford.

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09_hw1 - MS&E 211 Fall 2009 Linear and Nonlinear...

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