Lisa lives out in the country with her seven cats and avoids driving into the big city as much as possible. She has decided to make her own cat food and has the following nutritional guidelines. Each four ounce portion must contain 20 units of​ protein, 15 units of vitamin​ A, and 10 units of vitamin B. She has​ eggs, tomatoes, and chicken meat as possible inputs to her cat food. Each ounce of eggs contains 5 units of​ protein, 4 units of Vitamin​ A, and 3 units of Vitamin B. Each ounce of tomatoes contains 1 unit of​ protein, 5 units of Vitamin​ A, and 14 units of Vitamin B. Each ounce of chicken contains 22 units of​ protein, 14 units of Vitamin​ A, and 5 units of Vitamin B. Chicken costs 40 cents per​ ounce, tomatoes cost 8 cents per​ ounce, and eggs cost 12 cents per ounce. What is an appropriate constraint for this​ scenario?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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Lisa lives out in the country with her seven cats and avoids driving into the big city as much as possible. She has decided to make her own cat food and has the following nutritional guidelines. Each four ounce portion must contain 20 units of​ protein, 15 units of vitamin​ A, and 10 units of vitamin B. She has​ eggs, tomatoes, and chicken meat as possible inputs to her cat food. Each ounce of eggs contains 5 units of​ protein, 4 units of Vitamin​ A, and 3 units of Vitamin B. Each ounce of tomatoes contains 1 unit of​ protein, 5 units of Vitamin​ A, and 14 units of Vitamin B. Each ounce of chicken contains 22 units of​ protein, 14 units of Vitamin​ A, and 5 units of Vitamin B. Chicken costs 40 cents per​ ounce, tomatoes cost 8 cents per​ ounce, and eggs cost 12 cents per ounce.
 
What is an appropriate constraint for this​ scenario?
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