diethelpers - x 4 = Lbs of fishmeal to use. Y 4 = Calories...

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A Diet Problem Example Page 40 (13) Animal feed is produced by mixing four ingredients: corn, soybeans, oats and fishmeal. The nutritional and cost data is given as follows (nutrients are specified per pound of ingredient): Nutrient Corn Soybeans Oats Fishmeal Daily requirement Protein (g) 10 9 11 8 Minimum of 40 g. Calcium (mg) 50 45 58 50 Minimum of 120 mg. Fat (g) 30 90 10 5 Minimum of 20 g. Maximum of 100 g. Calories 900 1200 1000 600 Minimum of 4500 cal. Cost ($/lb.) .60 .30 .35 .85 Find the least cost feed. Decision Variables Helpers x 1 = Lbs of corn to use. Y 1 = Protein units in the feed x 2 = Lbs of soybeans to use. Y 2 = Calcium units in the feed x 3 = Lbs of oats to use. Y 3 = Fat units in the feed
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Unformatted text preview: x 4 = Lbs of fishmeal to use. Y 4 = Calories in the feed Min: 0.6 x 1 + 0.3 x 2 + 0.35 x 3 + 0.85 x 4 S.T. Or S.T. Y 4 4500 10 x 1 + 9x 2 + 11 x 3 + 8 x 4 40 | Y 1 =10 x 1 + 9x 2 + 11 x 3 + 8 x 4 Y 1 40 50 x 1 + 45 x 2 + 58 x 3 + 50 x 4 120 | Y 2 =50 x 1 + 45 x 2 + 58 x 3 + 50 x 4 Y 2 120 30 x 1 + 90 x 2 + 10 x 3 + 5 x 4 20 | Y 3 =30 x 1 + 90 x 2 + 10 x 3 + 5 x 4 Y 3 20, Y 3 100 30 x 1 + 90 x 2 + 10 x 3 + 5 x 4 100 | Y 4 = 900 x 1 + 1200 x 2 + 1000 x 3 + 600 x 4 900 x 1 + 1200 x 2 + 1000 x 3 + 600 x 4 4500 | x 1 , x 2 , , x 4 0 | x 1 , x 2 , , x 4 0...
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This note was uploaded on 09/28/2011 for the course MANAGEMENT 386 taught by Professor Ben-israel during the Spring '11 term at Rutgers.

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