Recall that after identifying the unknowns in the problem, we set up equations describing the relationshipsamong them.Let x be the number of servings of Designer Whey and let y be the number of servings of Muscle Milk to beused in making a mix that supplies 580 grams of protein and 164 grams of carbohydrates.Use the original table to summarize the information needed here.ProteinCarbohydrates(g)SodiumCost(g)(mg)($)DesignerWhey (Next)18800.50Muscle Milk32162401.60(Cytosport)Pure WheyProtein Stack2431000.60(Champion)x, number of servings ofDesigner Wheyy, number of servings ofDesired amount forMuscle Milk7-day supplygrams perProtein32 grams per servinggramsservinggrams perCarbohydrates2 grams per servinggramsservingCost$0.50 per serving$1.60 per serving

Answered: Recall that after identifying the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Recall that after identifying the unknowns in the problem, we set up equations describing the relationships
among them.
Let x be the number of servings of Designer Whey and let y be the number of servings of Muscle Milk to be
used in making a mix that supplies 580 grams of protein and 164 grams of carbohydrates.
Use the original table to summarize the information needed here.
Protein
Carbohydrates
(g)
Sodium
Cost
(g)
(mg)
($)
Designer
Whey (Next)
18
80
0.50
Muscle Milk
32
16
240
1.60
(Cytosport)
Pure Whey
Protein Stack
24
3
100
0.60
(Champion)
x, number of servings of
Designer Whey
y, number of servings of
Desired amount for
Muscle Milk
7-day supply
grams per
Protein
32 grams per serving
grams
serving
grams per
Carbohydrates
2 grams per serving
grams
serving
Cost
$0.50 per serving
$1.60 per serving

Expert Solution

Step 1

Consider the 2 given tables.

Let x be the number of servings of Designer Whey and y be the number of servings of Muscle Milk.

From the first table, it can be noted that per serving of Designer Whey contains 18 grams of protein and per serving of Muscle milk contains 16 grams of carbohydrates.

Hence, the first unknown in the first row of the second table is 18 and the first unknown in the second row of the second table is 16.

Given that the required mix should supply 580 grams of protein and 164 grams of carbohydrates.

That is, desired amount of protein for 7-day supply is 580 grams and desired amount of carbohydrates for 7-day supply is 164.

Hence, the second unknown in the first row of the second table is 580 and the second unknown in the second row of the second table is 164.

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