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Lab Workshop 3 - Instructions

Lab Workshop 3 - Instructions - 2 Southern General...

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ITIS 1P97 Fall 2011 Sproule Lab Workshop 3 – Linear Programming 1. Doug, manager of Heavenly Hound Kennels, provides lodging for pets. The Kennel’s dog food is made by mixing three grain products. He wants to make sure that each dog consumes at least 8 ounces of protein, at least 1 ounce of carbohydrate and no more than 0.5 ounces of fat each day. [Note: There are 16 ounces in a pound.] Grain Product Cost ($/pound) Protein (%) Carbohydrate (%) Fat (%) A 0.45 0.62 0.05 0.03 B 0.40 0.55 0.10 0.02 C 0.27 0.36 0.20 0.01 a) How much of each grain product should each dog be fed in order to minimize Doug’s cost? b) Request a sensitivity report for this analysis. c) What if each grain must make up at least 10% of the protein part of the dog’s diet?
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Unformatted text preview: 2. Southern General Hospital (See text, page 197) The hospital board has approved a minor expansion of not more than 10 beds, at a maximum cost of $210,000. Beds are needed in the maternity ward and the cardiac ward. The board has insisted that at least 2 of the new beds be placed in the maternity ward. The following table shows the profit and constraint coefficients. Type of bed Profit contribution ($ per day) Cost ($ per new bed) Maternity $20 $20,000 Cardiac $25 $24,600 a) Determine how many beds should be added in each ward using linear programming b) Add additional constraints to ensure that the number of beds added in each ward is an integer value....
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