Find the extremum of u = x^2 + y^2 + z^2 subject to x + y + z = 1.
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UGC-NET 2023 Question 16: Constrained optimisation and linear programming
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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.
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