29. At a space training program students are tasked with providing a high-performance diet for astronauts. On the Space Shuttle 2 kinds of foods are provided, Yum bars and a Space drink. The minimum daily requirements for each astronaut are at least 61 grams of fat, at least 350 grams of carbohydrates and at least 103 grams of protein. The Yum bars provide 5 grams of fat, 40 grams of carbohydrates and 15 grams of protein. The Space drinks provide 6 grams of fat, 25 grams of carbohydrates and 15 grams of protein. If each Yum bar weighs 270 grams and each Space drink weighs 300 grams, find the minimum weight of food required to meet the astronauť's nutritional needs. How many grams of each food is required?

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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  • Identify The variables X and Y:
  • Find the objective Function:
  • Graph The Constraints:
  • Identify The vertices of the feasible region and their value
29. At a space training program students are tasked with providing a high-performance diet for
astronauts. On the Space Shuttle 2 kinds of foods are provided, Yum bars and a Space drink. The
minimum daily requirements for each astronaut are at least 61 grams of fat, at least 350 grams of
carbohydrates and at least 103 grams of protein. The Yum bars provide 5 grams of fat, 40 grams of
carbohydrates and 15 grams of protein. The Space drinks provide 6 grams of fat, 25 grams of
carbohydrates and 15 grams of protein. If each Yum bar weighs 270 grams and each Space drink
weighs 300 grams, find the minimum weight of food required to meet the astronaut's nutritional
needs. How many grams of each food is required?
Transcribed Image Text:29. At a space training program students are tasked with providing a high-performance diet for astronauts. On the Space Shuttle 2 kinds of foods are provided, Yum bars and a Space drink. The minimum daily requirements for each astronaut are at least 61 grams of fat, at least 350 grams of carbohydrates and at least 103 grams of protein. The Yum bars provide 5 grams of fat, 40 grams of carbohydrates and 15 grams of protein. The Space drinks provide 6 grams of fat, 25 grams of carbohydrates and 15 grams of protein. If each Yum bar weighs 270 grams and each Space drink weighs 300 grams, find the minimum weight of food required to meet the astronaut's nutritional needs. How many grams of each food is required?
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