Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 15 people, while each carton of clothing will help 6people. Each 25​-cubic-foot box of food weighs 40 pounds and each 55​-cubic-footbox 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 20,000pounds.​- The total volume must be no more than 8000cubic 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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Asked Jan 21, 2020
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Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 15 people, while each carton of clothing will help 6people. Each 25​-cubic-foot box of food weighs 40 pounds and each 55​-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 20,000
pounds.
​- The total volume must be no more than 8000
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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Expert Answer

Step 1

Let, there are x food cartons and y cloth carton.

Step 2

According to the question,

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