A weight lifter wants to mix two types of protein powder. One is a whey protein and one is a soy protein. The fat, carbohydrate, and protein content (in grams) for 1 scoop of each powder is given in the table. Fat Carbohydrates Protein Whey 3 g 3 g 20 g Soy 2g 4 g 18 g Suppose that the weight lifter wants to make at most 60 scoops of a protein powder mixture. Furthermore, he wants to limit the total fat content to at most 150 g and the total carbohydrate content to at most 216 g. a. Determine the number of scoops of each type of powder that will maximize the total protein content under these constraints. b. What is the maximum total protein content? c. If the protein content were reversed between the two brands (that is, 18 g for the whey protein and 20 g for the soy protein), then how much of each type of protein powder should be used to maximize the amount of protein?

A weight lifter wants to mix two types of protein powder. One is a whey protein and one is a soy protein. The fat, carbohydrate, and protein content (in grams) for 1 scoop of each powder is given in the table. Fat Carbohydrates Protein Whey 3 g 3 g 20 g Soy 2g 4 g 18 g Suppose that the weight lifter wants to make at most 60 scoops of a protein powder mixture. Furthermore, he wants to limit the total fat content to at most 150 g and the total carbohydrate content to at most 216 g. a. Determine the number of scoops of each type of powder that will maximize the total protein content under these constraints. b. What is the maximum total protein content? c. If the protein content were reversed between the two brands (that is, 18 g for the whey protein and 20 g for the soy protein), then how much of each type of protein powder should be used to maximize the amount of protein?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

A weight lifter wants to mix two types of protein powder. One is a whey protein and one is a soy protein. The fat,
carbohydrate, and protein content (in grams) for 1 scoop of each powder is given in the table.
Fat
Carbohydrates
Protein
Whey
3 g
3 g
20 g
Soy
2g
4 g
18 g
Suppose that the weight lifter wants to make at most 60 scoops of a protein powder mixture. Furthermore, he wants to
limit the total fat content to at most 150 g and the total carbohydrate content to at most 216 g.
a. Determine the number of scoops of each type of powder that will maximize the total protein content under these
constraints.
b. What is the maximum total protein content?
c. If the protein content were reversed between the two brands (that is, 18 g for the whey protein and 20 g for the soy
protein), then how much of each type of protein powder should be used to maximize the amount of protein?

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