A hospital has two special diets that have essential vitamins that have a minimum required amount. Each diet has sodium as a detrimental ingredlent. A combination is used to minimize the amount of sodlum while at the same time ensuring that the both of the fat and carbohydrates are in sufficient quantities to promote healthy recovery. How many servings of each diet should be used to minimize sodium intake while meeting the required fat and carbohydrates? Diet 1 Diet 2 Required 17 units/g 8 units/g 8 units/g Fat 322 units 4 units/g 18 units/g 2 units/g Carbohydrates 426 units sodium (Use a for Diet 1 and y for Diet 2.) Minimize C subject to 2 322 2 426 Enter the solution to the simplex matrix below. If there is no solution enter DNE in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round units to t decimal palace. Diet 1 should have units. Diet 1 should have units. Minimum sodium is

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter11: Systems Of Equations
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A hospital has two special diets that have essential vitamins that have a minimum required amount. Each
diet has sodium as a detrimental ingredient. A combination is used to minimize the amount of sodium
while at the same time ensuring that the both of the fat and carbohydrates are in sufficient quantities to
promote healthy recovery. How many servings of each diet should be used to minimtze sodium intake
while meeting the required fat and carbohydrates?
Diet 1
Diet 2
Required
17 units/g
8 units/g
8 units/g
Fat
322 units
Carbohydrates
sodium
4 units/g
18 units/g
2 units/g
426 units
(Use a for Diet 1 and y for Diet 2.)
Minimize C
subject to
2 322
2 426
Enter the solution to the simplex matrix below. If there is no solution enter DNE In the baxes below, If
more than one solution exists, enter only one of the multiple solutions below. If needed round units to 1
decimal palace.
Diet 1 should have
units.
Diet 1 should have
units.
Minimum sodium is
8-
Transcribed Image Text:A hospital has two special diets that have essential vitamins that have a minimum required amount. Each diet has sodium as a detrimental ingredient. A combination is used to minimize the amount of sodium while at the same time ensuring that the both of the fat and carbohydrates are in sufficient quantities to promote healthy recovery. How many servings of each diet should be used to minimtze sodium intake while meeting the required fat and carbohydrates? Diet 1 Diet 2 Required 17 units/g 8 units/g 8 units/g Fat 322 units Carbohydrates sodium 4 units/g 18 units/g 2 units/g 426 units (Use a for Diet 1 and y for Diet 2.) Minimize C subject to 2 322 2 426 Enter the solution to the simplex matrix below. If there is no solution enter DNE In the baxes below, If more than one solution exists, enter only one of the multiple solutions below. If needed round units to 1 decimal palace. Diet 1 should have units. Diet 1 should have units. Minimum sodium is 8-
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