A new health diet requires that a person consume between 1,800 and 2,100 calories, and between...

A new health diet requires that a person consume between 1,800 and 2,100 calories, and between 35 and 50 grams of fat, on a daily basis. On the menu are three items: a chicken bowl, a broccoli and beef bowl, and a vegetarian bowl. the three bowls have, per serving, respectively: 450 calories and 10 grams of fat; 575 calories and 15 grams of fat, and 400 calories and 7 grams of fat. The goal is to maximize the number of servings of each meal, while staying within the aforementioned dietary limits. How many servings of each meal should a person consume each day to satisfy the situation?

a. Clearly define your variables being solved for, with units.

b. Write the linear programming problem.

c. Use technology to solve the problem. Interpret your answer in a complete sentence. Note that fractional servings are okay, and should be rounded to the nearest tenth of a serving.

d. Imagine you are able to create a fourth meal. You are able to specify the number of calories and fat this meal has. How many calories and fat should this meal have so that the answer is to consume as close to 10 servings of this meal per day (and no other meal)? Note that answers may vary and that the creative use of technology is permissible, provided you explain your reasoning

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orchestra answered 1 year ago

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