A gardening company sells clay flower pots and plastic flower pots. There must be at least 2 pots in each shipment, but there cannot be more than 8 in a shipment. Additionally, the shipment must
weigh less than 100 pounds. Each shipment container weighs 20 pounds, and there is 1 pound of
packing material. A clay flower pot weighs 15 pounds, whereas a plastic flower pot weighs 7.5
pounds.

(D)The company wants to fill each shipment as full as it can get when they send shipments to
garden supply stores. There is similar demand for each type of pot. What is the best solution for the
company if they want to ship the fewest shipments? Justify your reasoning.