Professor Scutari is so proud of your grade on the first midterm that he gets you a job with Purdue Facilities. They are rebuilding our beloved Grissom Hall. For the next three months, they need to store extra equipment, building materials, etc. A local company offers warehouse space based on monthly usage. You need to set up an LP to find the cheapest way to store what is needed. Below is a chart of the space you need for each month. Next to it is a chart of the leasing options−the total price per square foot leased and the corresponding duration. Note that you may have multiple, overlapping leases (e. g. two one-month leases for March and April and a two-month lease starting in April). All leases should end by May. You may lease more space than required.

Month Space Required Duration Cost per sq ft. leased
March 30,000 1 $65
April 20,000 2 $100
May 40,000 3 $135