Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 1111 ​people, while each carton of clothing will help 55 people. Each 2020​-cubic-foot box of food weighs 4040 pounds and each 55​-cubic-foot box of clothing weighs 2020 pounds. The commercial carriers transporting food and clothing are bound by the following​ constraints:   ​- The total weight per carrier cannot exceed 22 comma 00022,000 pounds. ​- The total volume must be no more than 70007000 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 nothing cartons.   The number of cartons of clothing is nothing cartons.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 41E
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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed
1111
​people, while each carton of clothing will help
55
people. Each
2020​-cubic-foot
box of food weighs
4040
pounds and each
55​-cubic-foot
box of clothing weighs
2020
pounds. The commercial carriers transporting food and clothing are bound by the following​ constraints:
 
​- The total weight per carrier cannot exceed
22 comma 00022,000
pounds.
​- The total volume must be no more than
70007000
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
nothing
cartons.
 
The number of cartons of clothing is
nothing
cartons.
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