Case Scenario: The operations manager of a body and paint shop has five cars to schedule for repair. He would like to minimize the time needed to complete all work on these cars. Each car requires body work prior to painting. The estimates of the times required to do the body and paint work on each are as follows:
Car Body Work (Hours) Paint (Hours)
A 8 6
B 9 4
C 7 9
D 3 4
E 12 5
a. Use Johnson's rule to sequence these five jobs for minimum total duration. Show your work in determining the job sequence.
The optimal sequence is ________.
b. How much time will it take to complete all jobs? Show all your calculations.
All jobs will be completed in __________ hours.