Nutrition Use duality to answer the following application. Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 14 grams of protein and 28 grams of fat per pound, while gazelle meat has 28 grams of protein and 14 grams of fat per pound. A batch of lion food must contain at least 19,600 grams of protein and 29,400 grams of fat. Giraffe meat costs $2 per pound and gazelle meat costs $4 per pound. How many pounds of each should go into each batch of lion food in order to minimize costs? (giraffe meat, gazelle meat) = What are the shadow costs of protein and fat? protein $ per g fat $ lb per g
Nutrition Use duality to answer the following application. Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 14 grams of protein and 28 grams of fat per pound, while gazelle meat has 28 grams of protein and 14 grams of fat per pound. A batch of lion food must contain at least 19,600 grams of protein and 29,400 grams of fat. Giraffe meat costs $2 per pound and gazelle meat costs $4 per pound. How many pounds of each should go into each batch of lion food in order to minimize costs? (giraffe meat, gazelle meat) = What are the shadow costs of protein and fat? protein $ per g fat $ lb per g
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 62E
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Transcribed Image Text:Nutrition Use duality to answer the following application.
Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 14
grams of protein and 28 grams of fat per pound, while gazelle meat has 28
grams of protein and 14 grams of fat per pound. A batch of lion food must
contain at least 19,600 grams of protein and 29,400 grams of fat. Giraffe
meat costs $2 per pound and gazelle meat costs $4 per pound. How many
pounds of each should go into each batch of lion food in order to minimize
costs?
(giraffe meat, gazelle meat) =
Ib
What are the shadow costs of protein and fat?
protein
$
per g
fat
$
per g
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Step 1: Introduction of the linear programming
VIEWStep 2: Write the data in the tabular form
VIEWStep 3: Write the objective function and constraint equations
VIEWStep 4: Plot the feasible region
VIEWStep 5: Indicate the corners point of the feasible region
VIEWStep 6: Calculate the shadow price for protein
VIEWStep 7: Calculate the shadow price for fat
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