Question 58

PINAT2 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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2026PI

GATE PI 2026 · Paper 1

Production and Industrial Engineering · Original paper archive

Section
Production and Industrial Engineering
Question type
Numerical answer (NAT)
Marks
2 marks

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