What is the average lateness of these seven jobs if they are scheduled using the critical ratio criterion? $$\begin{array} { | c | c | c | }
\hline \text { Job } & \text { Process Time } & \text { Due Date } \
\hline \text { Job 1 } & 15 & 23 \
\hline \text { Job 2 } & 7 & 15 \
\hline \text { Job 3 } & 12 & 34 \
\hline \text { Job 4 } & 8 & 16 \
\hline \text { Job 5 } & 11 & 27 \
\hline \text { Job 6 } & 10 & 19 \
\hline \text { Job 7 } & 13 & 28 \
\hline
\end{array}$$

Question

What is the average lateness of these seven jobs if they are scheduled using the critical ratio criterion? $$\begin{array} { | c | c | c | } 
\hline \text { Job } & \text { Process Time } & \text { Due Date } \
\hline \text { Job 1 } & 15 & 23 \
\hline \text { Job 2 } & 7 & 15 \
\hline \text { Job 3 } & 12 & 34 \
\hline \text { Job 4 } & 8 & 16 \
\hline \text { Job 5 } & 11 & 27 \
\hline \text { Job 6 } & 10 & 19 \
\hline \text { Job 7 } & 13 & 28 \
\hline
\end{array}$$

Quizplus · Accepted Answer

The critical ratio (CR) is calculated as the due date divided by the process time for each job. Jobs are then scheduled in ascending order of their CR values. To find the average lateness, we first calculate the completion time for each job in the order determined by their CR, subtract the due date from the completion time to find the lateness of each job, and then average these lateness values.1. Calculate CR for each job:   - Job 1: CR = 23 / 15 = 1.53   - Job 2: CR = 15 / 7 = 2.14   - Job 3: CR = 34 / 12 = 2.83   - Job 4: CR = 16 / 8 = 2.00   - Job 5: CR = 27 / 11 = 2.45   - Job 6: CR = 19 / 10 = 1.90   - Job 7: CR = 28 / 13 = 2.152. Schedule jobs in ascending order of CR: Job 1, Job 6, Job 4, Job 2, Job 7, Job 5, Job 3.3. Calculate completion times and lateness:   - Job 1: Completion = 15, Lateness = 15 - 23 = -8   - Job 6: Completion = 15 + 10 = 25, Lateness = 25 - 19 = 6   - Job 4: Completion = 25 + 8 = 33, Lateness = 33 - 16 = 17   - Job 2: Completion = 33 + 7 = 40, Lateness = 40 - 15 = 25   - Job 7: Completion = 40 + 13 = 53, Lateness = 53 - 28 = 25   - Job 5: Completion = 53 + 11 = 64, Lateness = 64 - 27 = 37   - Job 3: Completion = 64 + 12 = 76, Lateness = 76 - 34 = 424. Calculate average lateness: (−8 + 6 + 17 + 25 + 25 + 37 + 42) / 7 = 144 / 7 = 20.57The correct calculation results in an average lateness that is not exactly listed in the provided options, indicating a possible miscalculation in the question's setup or in the interpretation of the options. Based on the provided options and the correct methodology, none of the listed choices accurately reflect the calculated average lateness. However, the closest provided option to the correct calculation would be chosen if necessary, but it's important to note the discrepancy.

What Is the Average Lateness of These Seven Jobs If