.Slim-Down Manufacturing makes a line of nutritionally complete, weight-red ction beverages. One of their products is a strawberry shake which is designe to be a complete meal. The strawberry shake consists of several ingredients. ome information about each of these ingredients is given below. Take the ing edient of strawberry flavoring for example, the amount of calories from fat of ach unit (tbsp) of strawberry flavoring is 1, the amount of total calories from ach unit of strawberry flavoring is 50, similarly, the amount of vitamin content nd thickeners is 20mg and 3mg per tbsp. The cost of each tbsp of strawberry avoring is 10 dollars. Thickener Calories from F Total Calorie Vitamin Conte Cost Ingredient at nt (S/tbs (mg/tbs (per/tbsp) (per/tbsp) (mg/tbsp) p) p) Strawberry flavori 1 50 20 3 10 ng Cream 30 90 10 9. itamin suppleme 50 1 25 nt artificial sweetene 90 2 12 Thickening agent 30 60 2 25 he nutritional requirements are as follows. There must be at least 20 milligra s (mg) of vitamin content. For taste reasons, there must be at least 2 tablesp ons (tbsp) of strawberry flavoring for each tablespoon of artificial sweetener. o maintain proper thickness, there must be exactly 24 mg of thickeners in the everage. Finally, the beverage must total between 300 and 400 calories (inclu ve), and no more than 20 percent of the total calories should come from fat. lanagement would like to select the quantity of each ingredient for the bevera e which would minimize cost while meeting the above requirements.
.Slim-Down Manufacturing makes a line of nutritionally complete, weight-red ction beverages. One of their products is a strawberry shake which is designe to be a complete meal. The strawberry shake consists of several ingredients. ome information about each of these ingredients is given below. Take the ing edient of strawberry flavoring for example, the amount of calories from fat of ach unit (tbsp) of strawberry flavoring is 1, the amount of total calories from ach unit of strawberry flavoring is 50, similarly, the amount of vitamin content nd thickeners is 20mg and 3mg per tbsp. The cost of each tbsp of strawberry avoring is 10 dollars. Thickener Calories from F Total Calorie Vitamin Conte Cost Ingredient at nt (S/tbs (mg/tbs (per/tbsp) (per/tbsp) (mg/tbsp) p) p) Strawberry flavori 1 50 20 3 10 ng Cream 30 90 10 9. itamin suppleme 50 1 25 nt artificial sweetene 90 2 12 Thickening agent 30 60 2 25 he nutritional requirements are as follows. There must be at least 20 milligra s (mg) of vitamin content. For taste reasons, there must be at least 2 tablesp ons (tbsp) of strawberry flavoring for each tablespoon of artificial sweetener. o maintain proper thickness, there must be exactly 24 mg of thickeners in the everage. Finally, the beverage must total between 300 and 400 calories (inclu ve), and no more than 20 percent of the total calories should come from fat. lanagement would like to select the quantity of each ingredient for the bevera e which would minimize cost while meeting the above requirements.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Transcribed Image Text:.Slim-Down Manufacturing makes a line of nutritionally complete, weight-red
ction beverages. One of their products is a strawberry shake which is designe
to be a complete meal. The strawberry shake consists of several ingredients.
ome information about each of these ingredients is given below. Take the ing
edient of strawberry flavoring for example, the amount of calories from fat of
ach unit (tbsp) of strawberry flavoring is 1, the amount of total calories from
ach unit of strawberry flavoring is 50, similarly, the amount of vitamin content
nd thickeners is 20mg and 3mg per tbsp. The cost of each tbsp of strawberry
avoring is 10 dollars.
Thickener
Calories from F Total Calorie Vitamin Conte
Cost
Ingredient
at
nt
(S/tbs
(mg/tbs
(per/tbsp)
(per/tbsp)
(mg/tbsp)
p)
p)
Strawberry flavori
1
50
20
3
10
ng
Cream
30
90
10
9.
itamin suppleme
50
1
25
nt
artificial sweetene
90
2
12
Thickening agent
30
60
2
25
he nutritional requirements are as follows. There must be at least 20 milligra
s (mg) of vitamin content. For taste reasons, there must be at least 2 tablesp
ons (tbsp) of strawberry flavoring for each tablespoon of artificial sweetener.
o maintain proper thickness, there must be exactly 24 mg of thickeners in the
everage. Finally, the beverage must total between 300 and 400 calories (inclu
ve), and no more than 20 percent of the total calories should come from fat.
lanagement would like to select the quantity of each ingredient for the bevera
e which would minimize cost while meeting the above requirements.
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