Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 16 grams of protein and 32 grams of fat per pound, while gazelle meat has 32 grams of protein and 16 grams of fat per pound. A batch of lion food must contain at least 44,800 grams of protein and 67,200 grams of fat. Giraffe meat costs $1 per pound and gazelle meat costs $2 per pound. How many pounds of each should go into each batch of lion food in order to minimize costs?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 16 grams of protein and 32 grams of fat per pound, while gazelle meat has 32 grams of protein and 16 grams of fat per pound. A batch of lion food must contain at least 44,800 grams of protein and 67,200 grams of fat. Giraffe meat costs $1 per pound and gazelle meat costs $2 per pound. How many pounds of each should go into each batch of lion food in order to minimize costs?
 
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