Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 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 2000 pounds.
- The total volume must be no more than 7000 cubic feet.
Use this information to answer the following questions.