Question

3. 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? Why?

Answer 1

Job B is already late as indicated by its negative critical ratio of -0.89, suggesting that its due date has passed without the job having been completed.

Step-by-step explanation:

In operations management, the critical ratio (CR) is used to prioritize jobs. A critical ratio is calculated by dividing the time remaining until a job's due date by the total time required to complete the job. A CR less than 1 indicates that the job is already late, as there is not enough time left to complete the job by its due date. Conversely, a CR greater than 1 suggests that there is more time remaining than is needed to complete the job, indicating that the job is on schedule or ahead.

Looking at the provided critical ratios, Job A has a CR of 1.27, Job B has a CR of -0.89, and Job C has a CR of 0.15. In this scenario, Job B is already late, as indicated by its negative CR. This suggests that the due date has passed, and the job has not been completed. Jobs with negative CRs should typically be given high priority to mitigate the lateness as much as possible.