1. (20) Eric Cartman is the CEO of South Park Loading Company, which needs to lease warehouse space over the next 3 months. The space requirement for each of the three months (in thousands of square feet) are: month 1 15, month 2-13, and month 3- 17. The leasing costs depend on the length of the lease. The monthly leasing costs (in dollars per thousand square feet) for various lengths of the lease are: 1-month lease - 280, 2-month lease 245, and 3-month lease 220. Cartman can lease any amount of space for any length he wants within the three-month period (so, he cannot take a 2-month lease at the start of the third month for instance). Also, he could start two or more leases of different lengths at the same time. Formulate an LP which Cartman could use to figure out the leasing schedule which will minimize the total costs that he will incur