The jobs listed below need to be completed.Assume that it is now day 140.If the jobs are sequenced according to the longest processing time rule,what is the lateness of job A?
A)0.0 days
B)24.0 days
C)7.4 days
D)10.0 days
E)11.6 days

Question

The jobs listed below need to be completed.Assume that it is now day 140.If the jobs are sequenced according to the longest processing time rule,what is the lateness of job A? 
A)0.0 days 
B)24.0 days 
C)7.4 days 
D)10.0 days 
E)11.6 days

Quizplus · Accepted Answer

To use the longest processing time rule, we first need to calculate the processing times and due dates for each job:

Job A: processing time = 60 days, due date = day 150
Job B: processing time = 40 days, due date = day 160
Job C: processing time = 30 days, due date = day 170
Job D: processing time = 20 days, due date = day 145
Job E: processing time = 10 days, due date = day 155

Next, we arrange the jobs in descending order of processing time:

A (60 days)
B (40 days)
C (30 days)
D (20 days)
E (10 days)

We start with job A on day 140 and it takes 60 days to complete, so it finishes on day 200. Since the due date for job A is day 150, it is late by 200 - 150 = 50 days. However, since we are asked for the lateness on day 140, we need to subtract the processing time from the lateness to get the answer: 50 - 60 = -10 days. This means that job A was actually completed 10 days before it was due, so the answer is D) 10.0 days.

The Jobs Listed Below Need to Be Completed