Write a linear programming model, including the objective function and the set of constraints for the following problem. DO NOT SOLVE, but be sure to define all your variables.A convalescent hospital wishes to provide, at a minimum cost, a diet that has a minimum of 210 g of carbohydrates, 100 g of protein, and 130 g of fat per day. These requirements can be met with two foods, A and B:
FoodCarbohydratesProteinFatA8 g3 g3 gB6 g5 g5 gIf food A costs $0.27 per gram and food B costs $0.11 per gram, how many grams of each food should be purchased for each patient per day to meet the minimum requirements at the lowest cost?DENOTE:x number of grams of food Ay number of grams of food B
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A. 
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B.
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C. ?
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D.
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E.
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Answer: A
Mathematics
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A. 
B. 
C. 
D. 
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