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CMA Intermediate · Operations Management and Strategic Management · Scheduling and Queuing Models

A machine shop at Pune has 8 working hours per day and runs 5 days in a planning week. Machine M1 is already loaded with jobs needing 26 hours that week. If a new job needs 9 hours, what is the position on M1 after adding the new job?

Weekly capacity is 8 hours times 5 days, which is 40 hours. Adding the 9-hour job to the existing 26 hours gives 35 hours of load, leaving 5 hours of spare capacity. The machine is not overloaded.

  1. ALoad 35 hours against capacity 40 hours; 5 hours spareCorrect
  2. BLoad 35 hours against capacity 40 hours; 5 hours overloaded
  3. CLoad 35 hours against capacity 32 hours; 3 hours overloaded
  4. DLoad 26 hours against capacity 40 hours; 14 hours spare

Explanation

Weekly capacity = 8 x 5 = 40 hours. Load after the new job = 26 + 9 = 35 hours. Spare capacity = 40 - 35 = 5 hours. Overloading would occur only if load exceeded 40 hours.

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