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 25​-cubic-foot box of food weighs 50 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 24,000 pounds. ​- The total volume must be no more than 9000 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

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
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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 25​-cubic-foot box of food weighs 50 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 24,000 pounds.

​- The total volume must be no more than 9000 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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