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?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The Barberton Municipal division of Road Maintenance is charged with road repair in the city of Barberton and the 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
6,500​,
12,000​,
19,000​,
and
9,000​,
respectively. Each of the
11
workers on the workforce can contribute
500
hours per quarter. Payroll costs are
$6,000
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
$3,300​,
and the cost of laying off a worker is
$1,800.
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?
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