Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 10 people, while each carton of clothing will help 4 people. Each 20-cubic-foot box of food weighs 40 pounds and each 5-cubic-foot box of clothing weighs 20 pounds. The commercial carriers transporting food and clothing are bound by the following constraints: - The total weight per carrier cannot exceed 23,000 pounds. - The total volume must be no more than 7000 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 10 people, while each carton of clothing will help 4 people. Each 20-cubic-foot box of food weighs 40 pounds and each 5-cubic-foot box of clothing weighs 20 pounds. The commercial carriers transporting food and clothing are bound by the following constraints: - The total weight per carrier cannot exceed 23,000 pounds. - The total volume must be no more than 7000 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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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Transcribed Image Text:Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 10 people,
while each carton of clothing will help 4 people. Each 20-cubic-foot box of food weighs 40 pounds and
each 5-cubic-foot box of clothing weighs 20 pounds. The commercial carriers transporting food and
clothing are bound by the following constraints:
The total weight per carrier cannot exceed 23,000 pounds.
- The total volume must be no more than 7000 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
The number of cartons of clothing is
cartons.
cartons.
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