0. {10 points) Heep Construction recently won a contract for the excavation and site preparation of a new rest area on the Pennsylvania Turnpike. In preparing his bid for the job, Bob Ree-p, founder and president of Resp Construction, estimated that it would take four months to perform the work and that 10, 12, 14, and 8 trucks would be needed in months 1 through 4, respectively. The rm currently has 20 trucks of the type needed to perform the work on the new project. These trucks were obtained last year when Bob signed a longterm lease with PennState Leasing. Although most of these trucks are currently being nsed on existing jobs, Bob estimates that one truck will be available for use on the new project in month 1, two trucks will be available in month 2, three truoks will be available in month 3, and one truck will be available in month 4. Thns, to complete the project, Bob will have to lease additional trucks. The longterm leasing contract with PennState has a monthly cost of $000 per truck. Heep Construction pays its truck drivers $20 an hour, and daily fuel costs are approximately $100 per truck. All maintenance costs are paid by PennState leasing. For planning purposes, Bob estimates that each truck nsed on the new project will be operating eight hours a day, ve clays a week for approximately four weeks each month. Bob does not believe that current business conditions justifyr committing the rm to additional longth leases. In discussing the shortterm leasing possibilities with PennState leasing, Bob learned that he can obtain shortterm leases of 14 months. Shortterm leases differ from long term leases in that the shortterm leasing plans include the cost of both a truck and a driver. Maintenance costs for shortterm leases also are paid by PennState Leasing. The following costs for each of the four months cover the lease of a truck and driver: Length of Lease Cost per Month {0] 1 4000 2 3700 3 3225 4 3040 Bob Reep would like to acquire a lease that would minimize the cost of meeting the monthly trucking requirements for his new project, but he also takes great pride in the fact that his company has never laid off employees. Bob is committed to maintaining his nolayoff policy; that is, he will use his own drivers even if costs are higher. Formulate this problem as a linear programming