Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 11people, while each carton of clothing will help 5people. 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 23,000pounds.

- The total volume must be no more than 7,000cubic 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 iscartons?