Example LPs

# Example LPs - MBAC6080 Decision Modeling and Applications...

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1 MBAC6080 Thomas Vossen Assistant professor of Operations Management Leeds School of Business University of Colorado Boulder, CO 80309-0419 Decision Modeling and Applications

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Lecture 3, 1-25-2004 2 MBAC6080 Examples of LPs
Lecture 3, 1-25-2004 3 MBAC6080 Diet Problem • A satisfactory diet has at least 2000 kcal of energy, 55g of protein, and 800mg of calcium (vitamins and iron are supplied by pills). • We have decided to impose variety by having a limit on the number of servings/day for each of our six foods. • What is the least cost satisfactory diet?

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Lecture 3, 1-25-2004 4 MBAC6080 Decisions X O = “The number of servings/day of Oatmeal X C = “The number of servings/day of Chicken X E = “The number of servings/day of Eggs X W = “The number of servings/day of Whole Milk X P = “The number of servings/day of Cherry Pie X B = “The number of servings/day of Pork&Beans
Lecture 3, 1-25-2004 5 MBAC6080 Objective Minimize Cost Min 3 X O + 24X C + 13X E + 9X W + 20X P + 19X B

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Lecture 3, 1-25-2004 6 MBAC6080 Constraints 110X O + 205X C + 160X E + 160X W + 420X P + 260X B ≥ 2000 (energy) 4X O + 32X C + 13X E + 8X W + 4X P + 14X B ≥ 55 (protein) 2X O + 12X C + 54X E + 285X W + 22X P + 80X B ≥ 800 (calcium) X O ≤ 4 (Limits) X C ≤ 3 X E ≤ 2 X W ≤ 8 X P ≤ 2 X B ≤ 2 X O ,X C ,X E ,X W ,X P ,X B ≥ 0
Lecture 3, 1-25-2004 7 MBAC6080 Transportation Problem A company has two plants and three warehouses. The first plant can supply at most 100 units and the second at most 200 units of the same product. The

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## This note was uploaded on 06/01/2008 for the course MBAC 6080 taught by Professor Vossen during the Spring '08 term at Colorado.

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Example LPs - MBAC6080 Decision Modeling and Applications...

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