ChVIISIIILnrPrgrm - Math131043 7.3Linear Programming.1 7.3...

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Math131043 7.3Linear Programming.1 7 . 3 Linear Programming 211Tan10* Minimize C 2 x 5 y 211Tan11**Minimize C  6 x 3 y subject to the constraints: 4 x y 40 2 x y 30 x 3 y 30 x 0, y 0 Solution. 4 x y 40,2 x y 30, x 3 y 30 0 10 20 30 40 y 10 20 30 40 x 1
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Math131043 7.3Linear Programming.2 Vertex C C  Min A 0,40 200 120 B 5,20 110 90 Min C  C 12,6 54 Min 90 Min C , C  D 30,0 60 180 We conclude that C attains a minimum value of 54 when x 12 and y 6.  We conclude that C  attains a minimum value of 90 at any point x , y lying on the line segment joining to . 199-212Tan7-30.Nutrition-Diet Planning. A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals should contain a minimum of 400 mg of calcium, 10 mg of iron, and 40 mg of vitamin C . 2
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Math131043 7.3Linear Programming.3 She has further decided that the meals are to be prepared from foods A and B . Each ounce of food A contains 30 mg of calcium, 1 mg of iron, 2 mg of vitamin C , and 2 mg of cholesterol. Each ounce of food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C , and 5 mg of cholesterol. Find how many ounces of each type of food should be used in a meal so that the cholesterol content is minimized and the minimum requirements of calcium, iron, and vitamin C are met. Solution. Let x denote the amount of food A and let y denote the amount of food B , used to prepare a meal.
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ChVIISIIILnrPrgrm - Math131043 7.3Linear Programming.1 7.3...

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