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 2 pounds. The requirement calls for 54 units of protein, 36 units of carbohydrates, and20 units of fat. How many tubes of each food should be supplied to the astronauts? The number of tubes of food A and food b is
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 2 pounds. The requirement calls for 54 units of protein, 36 units of carbohydrates, and20 units of fat. How many tubes of each food should be supplied to the astronauts? The number of tubes of food A and food b is
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 2 pounds. The requirement calls for 54 units of protein, 36 units of carbohydrates, and20 units of fat. How many tubes of each food should be supplied to the astronauts?
The number of tubes of food A and food b is
2. The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 50students, requires chaperones, and costs $1,200 to rent. Each van can transport
10 students, requires 1 chaperone, and costs $120 to rent. Since there are
550 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 550 students. Since only
39 parents have volunteered to serve as chaperones, the officers must plan to use at most 39 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
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