A nutritionist, working for NASA, must meet certain nutritional requirements and yet keep the weight of the food at a minimum. They are considering a combination of two foods, which are packaged in tubes. Each tube of food X contains 3 units of protein, 3 units of carbohydrates, and 1 unit of fat and weighs 2 pounds. Each tube of food Y contains 4 units of protein, 2 units of carbohydrates, and 2 units of fat and weighs 3 pounds. The astronaut’s requirements call for at least: 48 units of protein, 30 units of carbohydrates, and 18 units of fat. How many tubes of each food should be supplied to the astronauts? What is the objective function for this problem? Are you to maximize it or minimize it? b) Give all the restraints for the problem. c) Graph the restraints and label the region of feasibility. You will NOT be able to enter the graph here.
QUESTION 1
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A nutritionist, working for NASA, must meet certain nutritional requirements and yet keep the weight of the food at a minimum. They are considering a combination of two foods, which are packaged in tubes. Each tube of food X contains 3 units of protein, 3 units of carbohydrates, and 1 unit of fat and weighs 2 pounds. Each tube of food Y contains 4 units of protein, 2 units of carbohydrates, and 2 units of fat and weighs 3 pounds. The astronaut’s requirements call for at least: 48 units of protein, 30 units of carbohydrates, and 18 units of fat. How many tubes of each food should be supplied to the astronauts?
- What is the objective function for this problem?
Are you to maximize it or minimize it?
b) Give all the restraints for the problem.
c) Graph the restraints and label the region of feasibility.
You will NOT be able to enter the graph here.
d) What are the vertices for the region of feasibility?
e) Give the solution for the linear programming problem.
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