The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the surrounding area. Vijay Gupta, road maintenance director, must submit a staffing plan for the next year based on a set schedule for repairs and on the city budget. Gupta estimates that the labor hours required for the next four quarters are 6 comma 000, 12 comma 000, 20 comma 000, and 9 comma 500, respectively. Each of the 11 workers on the workforce can contribute 500 hours per quarter. Payroll costs are $ 6 comma 000 in wages per worker for regular time worked up to 500 hours, with an overtime pay rate of $ 17 for each overtime hour. Overtime is limited to 20 percent of the regular-time capacity in any quarter. Although unused overtime capacity has no cost, unused regular time is paid at $ 12 per hour. The cost of hiring a worker is $ 3 comma 200, and the cost of laying off a worker is $ 1 comma 700. Subcontracting is not permitted. (Hint: When calculating the number of workers, make sure to round up to the next whole number before proceeding with any further calculations.)
Part 2
a. Find a level workforce plan that relies just on overtime and the minimum amount of undertime possible. Overtime can be used to its limits in any quarter. What is the total cost of the plan? $
940,600. (Enter your response as an integer.)
Part 3
How many undertime hours does it call for?
enter your response here hours. (Enter your response as an integer.)
