An agency wants to ship food and clothing to hurricane victims in Louisiana. Commercial carriers have volunteered to transport the​ packages, provided they fit in the available cargo space. Each ​20ft^3 box of food weighs 40 lb and each ​30ft ^3 box of clothing weighs 10 lb. The total weight cannot exceed​ 16,000 lb, and the total volume must be at most​ 18,000 ft^3 . Each carton of food will feed 8 ​people, while each carton of clothing will help 8 people.