A bus company believes that it will need the following numbersof bus drivers during each of the next 5 years It costs $50,000 tohire (and train) a driver and $20,000 to fire a driver. A driver’ssalary is $60,000 per year. At the beginning of Year 1 the companyhas 40 drivers. A driver hired at the beginning of a year can beused to meet the current year’s requirements and is paid fullsalary for the current year. How many drivers should the companyhire and fire each year to minimize the company’s total (hiring,firing, and employing) drivers’ cost. Drivers needed: Year1 70 Year2 60 Year3 50 Year4 70 Year5 75 a. Formulate a linear programming model for this problem (ASpreadsheet approach is easier.) b. Solve the model using SOLVER.c. Does the optimal solution change if the hiring costs is cut inhalf (i.e. $25,000). If so, how? . . .
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