The Barberton Municipal Division of Road Maintenance is charged with road repair in the
city of Barberton and surrounding area. Cindy Kramer, road maintenance director, must
submit a staffing plan for the next year based on a set schedule for repairs 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 9,000, 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 $6,240 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 layoff cost of a worker is $2,000.
a. Application 10.1: Chase Strategy
Use a chase strategy for the Barberton Municipal Division that varies the workforce level
without using overtime. Undertime should be minimized, except for the minimal amount
mandated because the quarterly requirements are not integer multiples of 520 hours.
b. Application 10.2: Level Strategy
Find a level workforce plan for the Barberton Municipal Division that allows no delay in road
repair and minimizes undertime. Overtime can be used to its limits in any quarter. Because
the peak demand is in quarter 3:
1.20w =