Production and Industrial Engineering
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE PI 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.
Question 58
Open questionPINAT2 marksNeeds review
A company must allocate oil produced from their two plants to meet all the demands of two markets. The cost per litre of allocation from plant
to market
is denoted by
. The market demand
, plant production capacity
and
values are given in the table. | Market 1 ( ) | Market 2 ( ) | Capacity in litres |
|---|---|---|---|
Plant 1 ( ) | | | |
Plant 2 ( ) | | | |
Demand in litres | | | |
The company hired an intern to formulate an optimization model to decide on the quantity (
) to be allocated from plant
to market
and the formulation is given below:Minimize
Subject to
The optimal value of the objective function of the linear programming problem formulated by the intern is _____ (in integer).
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Open questionPINAT2 marksNeeds review
The computer centre (CC) in an institute manages the central server for which researchers queue to run their computer programs. CC processes programs only one at a time. Four computer programs are available at 10:00 am on a given day. The time required to run each program on the central server and their respective promised time of completion (i.e., due date) on that same day are given in the table. If the CC follows shortest processing time (SPT) rule to sequence the computer programs, the number of tardy jobs is _____. Note: Ignore program change-over times.
Program | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
Processing time (in minutes) | 60 | 40 | 90 | 100 |
Promised time (i.e., due date) | 12 noon | 11:30 am | 1:00 pm | 1:30 pm |
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 60
Open questionPINAT2 marksNeeds review
If
, and the value of
at
is 2, then the value of
at
is _____ (rounded off to two decimal places).Log in to check the answer
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