Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 15

15 people, while each carton of clothing will help 6

6 people. Each 25

25-cubic-foot box of food weighs 50

50 pounds and each 5

5-cubic-foot box of clothing weighs 25

25 pounds. The commercial carriers transporting food and clothing are bound by the followingconstraints:

- The total weight per carrier cannot exceed 21 comma 000

21,000 pounds.

- The total volume must be no more than 6000

6000 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 behelped?