Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 12 people, while each carton of dothing will help 5 people. Each 20-cubic-foot box of food weighs
40 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 22,000 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? Number of cartons food? Number of cartons clothing?