Food and clothing or shipped to victims of a natural disaster. Each carton of food will feed 12 people, while each carton of clothing will help five people. Each 20 ft.³ box of food weighs 50 pounds and each 5 ft.³ 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 21,000 pounds. -The total volume must not be more than 6000 ft.³. How many cartons of food and clothing should be sent with each plane shipment to maximize the number of people who can be helped?