Reep Construction recently won a contract for the excavation and site preparation of a new rest area on Interstate Highway 5 in California. In preparing his bid for the job, Bob Reep, founder and president of Reep 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 firm 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 long-term lease with CalState Leasing. Although most of these trucks are currently being used 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 trucks will be available in month 3, and one truck will be available in month 4. Thus, to complete the project, Bob will have to lease additional trucks.The long-term leasing contract with CalState charges a monthly cost of $600 per truck. Reep Construction pays its truck drivers $20 an hour, and daily fuel costs are approximately $100 per truck. All maintenance costs are paid by CalState Leasing. For planning purposes, Bob estimates that each truck used on the new project will be operating eight hours a day, five days a week for approximately four weeks each month. Bob does not believe that current business conditions justify committing the firm to additional long-term leases. In discussing the short-term leasing possibilities with CalState Leasing, Bob learned that he can obtain short-term leases of one to four months. Short-term leases differ from long-term leases in that the short-term leasing plans include the cost of both a truck and a driver. Maintenance costs for short-term leases also are paid by CalState Leasing. The following costs for each of the four months cover the lease of a truck and driver:
Length of Lease Cost per Month
1 $4,000
2 $3,700
3 $3,225
4 $3,040
Bob Reep would like to acquire a lease that minimizes 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 no-layoff policy; that is, he will use his own drivers even if costs are higher.Questions to be answered in your report:Write a report that outlines the questions and follows the structure requirement.Perform an analysis of Reep Constructions leasing problem and prepare a report for Bob Reep that summarizes your findings.Be sure to include information on, and analysis of, the following items:
The optimal leasing plan
The costs associated with the optimal leasing plan
The cost for Reep Construction to maintain its current policy of no layoffs
Make sure your case study report includes the following structures: (1) Introduction, (2) Data Presentation, (3) Model Specification, (4) Interpretation of Results, (5) Integration of Biblical Principle, and (6) Policy Recommendations & Conclusion.
Introduction: Paper must define the problem scope and outline the objectives of the analysis in a clear, concise, and professional manner.
Data Presentation: Paper must present a summary of data in an accurate and professional manner, and provide accurate interpretation of the data.
Model Specification: Paper must specify the appropriate linear programming model in an accurate and professional manner. Provide details & accurate equations for objective functions, constraints and decision variables and their descriptions to answer the questions.
Interpretation of Results: Paper must provide a clear, concise, consistent and accurate summary of results from linear programming models. The results should be based on answer reports, and sensitivity reports.