1. Linear Programming Question 1 A local farmer raises pigs and geese. Two constraints: 1.The farmer wants to raise no more than 16 animals. 2.The farmer has a budget of $500 and it costs $50 to raise a pig and $20 to raise a goose. What is the maximum total profit if the farmer makes a profit of $80 per goose and $40 per pig?

2. Linear Programming Question 2 A college freshman needs to maximize storage space in her dorm. There are 2 types of storage cabinets she likes: – Small Cabinet: Costs $10 Requires 6 square feet of floor space Holds 8 cubic feet of storage – Large Cabinet: Costs $20 Requires 8 square feet of floor space Holds 12 cubic feet of storage Constraints: Budget of $140, and 72 square feet of floor space available How many of each cabinet should the student buy in order to maximize storage?

3. Linear Programming Question 3 Town of Brookhaven Zoning Laws require any new home built to have window space of at least 1/6 of the space used by outside walls. The cost to heat a home in the winter is $0.20 per square foot of wall and $0.80 per square foot of window. Find the maximum area of the walls if the heating bill for the month must be at most $160 per month?

4. Linear Programming Question 4 In 2011, the Red Cross began airlifting emergency supplies to Tokyo in the wake of the earthquake. Cargo planes were filled with boxes of food and clothing. A box of food had a volume of 20 cubic feet and weighed 40 pounds. A box of clothing had a volume of 30 cubic feet and weighed 10 pounds. The cargo hold of the plane has a volume of 18,000 cubic feet and can hold up to 16,000 pounds. If each box of food can feed 10 people, and each box of clothing can help 8 people, what is the maximum number of people that can be helped by one plane?