Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 14 ​people, while each carton of clothing will help 6 people. Each 20​-cubic-foot box of food weighs 40...


Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed
14

​people, while each carton of clothing will help
6

people. Each
20​-cubic-foot

box of food weighs
40

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
21,000

pounds.

​- The total volume must be no more than
6000

cubic feet.



How many cartons of food and clothing should be sent with each plane shipment to maximize the number of people who can be​ helped?



Jun 05, 2022
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