A​ nutritionist, working for​ NASA, must meet certain minimum nutritional requirements and yet keep the weight of the food at a minimum. He is considering a combination of two​ foods, which are packaged in tubes. Each tube of food A contains 4 units of​ protein, 2 units of​ carbohydrates, and 2 units of fat and weighs 2 pounds. Each tube of food B contains 3 units of​ protein, 6 units of​ carbohydrates, and 1 unit of fat and weighs 2pounds. The requirement calls for 48units of​ protein, 42units of​ carbohydrates, and 20units of fat. How many tubes of each food should be supplied to the​ astronauts? a= 4 and b=16?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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A​ nutritionist, working for​ NASA, must meet certain minimum nutritional requirements and yet keep the weight of the food at a minimum. He is considering a combination of two​ foods, which are packaged in tubes. Each tube of food A contains 4 units of​ protein, 2 units of​ carbohydrates, and 2 units of fat and weighs 2 pounds. Each tube of food B contains 3 units of​ protein, 6 units of​ carbohydrates, and 1 unit of fat and weighs 2pounds. The requirement calls for 48units of​ protein, 42units of​ carbohydrates, and 20units of fat. How many tubes of each food should be supplied to the​ astronauts?

a= 4 and b=16?

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