An athlete is planning a diet change for training. Each time he eats meal A he gets 20 grams of protein and 30 grams of carbohydrates. Each meal B provides 20 grams of protein and 50 grams of carbohydrates. Each meal A costs $5 each and each meal B costs $7.5. The athlete needs at least 80 grams of protein and 160 grams of carbohydrates. (A) let x be the number of meal A and y be the number of meal B. write inequalities for this linear programming problem. (B) identify the feasible set (C) Minimize the objective function 5x+7.5y (the total cost)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...
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An athlete is planning a diet change for training. Each time he eats meal A he gets 20 grams of protein and 30 grams of carbohydrates. Each meal B provides 20 grams of protein and 50 grams of carbohydrates. Each meal A costs $5 each and each meal B costs $7.5. The athlete needs at least 80 grams of protein and 160 grams of carbohydrates.

(A) let x be the number of meal A and y be the number of meal B. write inequalities for this linear programming problem.

(B) identify the feasible set

(C) Minimize the objective function 5x+7.5y (the total cost)

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