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GATE 2026 ME – Question 47

Production Planning and Control · Aggregate production planning, scheduling and material requirement planning · 2 marks · Multiple choice

Four jobs are on order in a factory. As on day 20 of the production calendar, the corresponding due date and work remaining to complete these jobs (in days) are given in the table below.

JobDue dateWork remaining (in days)
M265
N2410
O2810
P315

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

  1. Job N and Job O
  2. Job M and Job N
  3. Job P
  4. Job O and Job P

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Show answer and explanation

Correct answer: (A) Job N and Job O

Explanation

The critical ratio is the time left until the due date divided by the work remaining. On day 20: M gives $\frac{26 - 20}{5} = 1.2$, N gives $\frac{24 - 20}{10} = 0.4$, O gives $\frac{28 - 20}{10} = 0.8$ and P gives $\frac{31 - 20}{5} = 2.2$. Jobs N and O have a ratio below 1.