Question Details

As on day 20 of the production calendar, the corresponding due date and work remaining are given in the table.


Job Due Date Work remaining
M 26 5
N 24 10
O 28 10
P 31 5

Which job(s) has/have critical ratio less than unity?

Options

A

Job M & N

B

Job O & P

C

Job N & O

D

Job P

Show Answer

Correct Answer :

Option C

Job N & O

Solution :

The correct option is Job N & O.

To determine which jobs have a critical ratio less than unity (1), we first need to understand the definition and formula for the Critical Ratio (CR).
The Critical Ratio is a scheduling rule used to determine the priority of jobs. It is calculated using the following formula:

Critical Ratio (CR) = Due Date - Current Date Work Remaining

According to the problem description, the current date (as on the production calendar) is day 20.
Therefore, the formula for each job simplifies to:

CR = Due Date - 20 Work Remaining

Now, we calculate the critical ratio for each job listed in the table:

1. For Job M:
Due Date = 26, Work Remaining = 5

CRM = 26 - 20 5 = 6 5 = 1.2

Since 1.2 is greater than 1, Job M has a critical ratio greater than unity.

2. For Job N:
Due Date = 24, Work Remaining = 10

CRN = 24 - 20 10 = 4 10 = 0.4

Since 0.4 is less than 1, Job N has a critical ratio less than unity.

3. For Job O:
Due Date = 28, Work Remaining = 10

CRO = 28 - 20 10 = 8 10 = 0.8

Since 0.8 is less than 1, Job O has a critical ratio less than unity.

4. For Job P:
Due Date = 31, Work Remaining = 5

CRP = 31 - 20 5 = 11 5 = 2.2

Since 2.2 is greater than 1, Job P has a critical ratio greater than unity.

Comparing the calculated critical ratios, we find that Job N (CR = 0.4) and Job O (CR = 0.8) are the jobs that have a critical ratio less than unity.

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