Nutrition Use duality to answer the following application. Ruff makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 204 grams of protein and at least 148 grams of fat. I chicken costs 10e per ounce and grain costs le per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize costs? (chicken, grain) = What are the shadow costs of protein and fat? protein e per g Fat e per g

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 42E
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Nutrition Use duality to answer the following application.
Ruff makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 204 grams of protein and at least 148 grams of fat. If
chicken costs 10c per ounce and grain costs 1e per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize costs?
1)
(chicken, grain) =
What are the shadow costs of protein and fat?
protein
¢ per g
fat
e per g
Transcribed Image Text:Nutrition Use duality to answer the following application. Ruff makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 204 grams of protein and at least 148 grams of fat. If chicken costs 10c per ounce and grain costs 1e per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize costs? 1) (chicken, grain) = What are the shadow costs of protein and fat? protein ¢ per g fat e per g
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