Four automobiles have entered Bubba’s Repair Shop for various types of work, ranging from a transmis- sion overhaul to a brake job. The experience level of the mechanics is quite varied, and Bubba would like to minimize the time required to complete all of the jobs. He has estimated the time in minutes for each mechanic to complete each job. Billy can complete job 1 in 400 minutes, job 2 in 90 minutes, job 3 in 60 minutes, and job 4 in 120 minutes. Taylor will finish job 1 in 650 minutes, job 2 in 120 minutes, job 3 in 90 minutes, and job 4 in 180 minutes. Mark will finish job 1 in 480 minutes, job 2 in 120 minutes, job 3 in 80 minutes, and job 4 in 180 minutes. John will complete job 1 in 500 minutes, job 2 in 110 minutes, job 3 in 90 minutes, and job 4 in 150 minutes. Each mechanic should be assigned to just one of these jobs. What is the minimum total time required to finish the four jobs? Who should be assigned to each job?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Four automobiles have entered Bubba’s Repair Shop

for various types of work, ranging from a transmis-
sion overhaul to a brake job. The experience level of

the mechanics is quite varied, and Bubba would like
to minimize the time required to complete all of the
jobs. He has estimated the time in minutes for each
mechanic to complete each job. Billy can complete
job 1 in 400 minutes, job 2 in 90 minutes, job 3 in
60 minutes, and job 4 in 120 minutes. Taylor will
finish job 1 in 650 minutes, job 2 in 120 minutes, job
3 in 90 minutes, and job 4 in 180 minutes. Mark will
finish job 1 in 480 minutes, job 2 in 120 minutes, job
3 in 80 minutes, and job 4 in 180 minutes. John will
complete job 1 in 500 minutes, job 2 in 110 minutes,
job 3 in 90 minutes, and job 4 in 150 minutes. Each
mechanic should be assigned to just one of these jobs.
What is the minimum total time required to finish the
four jobs? Who should be assigned to each job?

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