Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 people, while each carton of clothing will help 6 people. Each 20-cubic-foot box of food weighs 50 pounds and each 5-cubic-foot box of clothing weighs 25 pounds. The commercial carriers transporting food and clothing are bound by the following constraints: - The total weight per carrier cannot exceed 24,000 pounds. - The total volume must be no more than 6000 cubic feet. Use this information to answer the following questions How many cartons of food and clothing should be sent with each plane shipment to maximize the number of people who can be helped? The number of cartons of food is_____cartons. The number of cartons of clothing is_____cartons.
Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 people, while each carton of clothing will help 6 people. Each 20-cubic-foot box of food weighs 50 pounds and each 5-cubic-foot box of clothing weighs 25 pounds. The commercial carriers transporting food and clothing are bound by the following constraints: - The total weight per carrier cannot exceed 24,000 pounds. - The total volume must be no more than 6000 cubic feet. Use this information to answer the following questions How many cartons of food and clothing should be sent with each plane shipment to maximize the number of people who can be helped? The number of cartons of food is_____cartons. The number of cartons of clothing is_____cartons.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 people, while each carton of clothing will help 6 people. Each 20-cubic-foot box of food weighs 50 pounds and each 5-cubic-foot box of clothing weighs 25 pounds. The commercial carriers transporting food and clothing are bound by the following constraints:
- The total weight per carrier cannot exceed 24,000 pounds.
- The total volume must be no more than 6000 cubic feet.
Use this information to answer the following questions
How many cartons of food and clothing should be sent with each plane shipment to maximize the number of people who can be helped?
The number of cartons of food is_____cartons.
The number of cartons of clothing is_____cartons.
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