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Questions › IIT JAM › IIT JAM 2026 › Q49
1 markMathematics › Constrained optimisation and linear programming › Equality-constrained optimisation and Lagrange multipliersModerateabout 2 min

IIT JAM 2026 Question 49: Constrained optimisation and linear programming

The maximum value of the objective function (x+y)(x+y)(x+y) subject to the constraint (x2+y2)=2(x^2+y^2)=2(x2+y2)=2 is ________ (in integer).

Answer and worked solution

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Plain-text version

The maximum value of the objective function (x+y) subject to the constraint (x²+y²)=2 is (*in integer*).

Also written as: The maximum value of the objective function (x+y) subject to the constraint (x^2+y^2)=2 is (*in integer*).

Constrained optimisation and linear programming has come up 44 times in 7 exams since 2007.

What this question tests

This question is on Equality-constrained optimisation and Lagrange multipliers, part of Constrained optimisation and linear programming in Mathematics.

Optimising a function subject to equality constraints, and what the multiplier means.

TestStop has 14 past-paper questions on this subtopic.

Take this paper as a timed mockMore on Equality-constrained optimisation and Lagrange multipliers

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