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For questions on Lagrange multipliers, a strategy to solve constrained optimisation problems.

In mathematical optimization, the method of Lagrange multipliers (named after Joseph Louis Lagrange) provides a strategy for finding the local maxima and minima of a function subject to equality constraints.

For example, to maximise $f(x, y)$ subject to the constraint $g(x, y) = 0$, we introduce the auxiliary function $L(x, y, \lambda) = f(x, y) - \lambda g(x, y)$, and solve $\nabla L = 0$.

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