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23. Suppose you have three jobs waiting to be completed, and you must determine

ID: 3248460 • Letter: 2

Question

23. Suppose you have three jobs waiting to be completed, and you must determine the sequence in which these jobs should be worked on. You calculated the critical ratio for each of the jobs and the results were that job A has a critical ratio of 1.27, job B has a critical ratio of –0.89, and job C has a critical ratio of 0.15. Which of these jobs is already late?

Practical Operations Management.

Chapter 14 Scheduling and Real-Time Operations

Ramp Up problems

Please use great detail, and answer the problems step-by-step, being methodical and accurate in your responses. Thank you

Explanation / Answer

Critical Ratio(CR) = (Due Date - Todays Date) / Total Time Remaining

A CR >1 implies that the job is ahead of schedule, whereas a CR < 1 means that the job is behind schedule

Job A Job A has a critical ratio > 1, which implies that Job A is ahead of schedule, and we still have time to complete the same.

Job B has a critical ratio of -0.89, which means the numerator (Due date - Todays date) is negative, or which means you have passed the due date, and hence you are late. (Job B is already late)

Job C has a critical ratio of 0.15 which is < 1, but not yet negative, which means that this job is behind schedule and will eventually become late.

Therefore the sequence of Jobs is JOB B - JOB C - JOB A in that order.

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