The Barberton Municipal Divion of Road Maintenance is charged with road regair in the city of Barberton and surrounding area. Cindy Kramer, road maintenance director, must sulomit a staffing plan for the next year based on a set schedule for regairs and on the city budget. kramer estimates that the labor hours required for the next four quarters are $6,000,12,000,19,000,$ and $3\mathrm{.}000,$ respectively. Each of the $11$ workers on the workforce can contribute $520$ hours per quarter. Overtime is limited to $20$ percent of the regular$-$time capacity in any quarter. Subcontracting is not permitted.

Payroll costs are $56,240$ in wages per worker for regular time worked up to $520$ hours, with an overtime pay rate of $$18$ for each overtime hour. Although unused overtime capacity has no cost$.$ unused regular time is paid at $$12$ per hour. The cost of hiring a worker is $$3,000,$ and the cost of laying off a worker is $$2,000.$

Find a level plan for the Barberton Municipal Division that allows no delay in road repair and minimices undertime. Overtime can be used to its limits in any quarter.