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A refrigeration company has six plants located in different parts of a city. Every year it is necessary for each plant to be completely overhauled. The overhauling is carried out in two stages A and B, and each stage requires a crew of workmen with completely different skills. The work on stage B can start only when stage A has been completed. The plant has to be closed for the entire period of the overhauling. The company, at present, is following the schedule of the overhaul of the six plants as given below:
Time required by the Crew (days)
Plant P1 P2 P3 P4 P5 P6
Crew A 12 9 10 8 10 10
Crew B 10 7 9 14 6 8
a) Determine the optimal sequence.
b) If downtime of any of the six plants costs K5,000 per day, Idle time for crew A costs K1,500 per day and idle time for crew B costs K2,500 per day, which of the two schedules, the present one or the one determined in part (a), will be more economical? What are their respective costs?
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