Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.7 Constraints and Lagrange Multipliers, #27 · Multivariable Calculus · Lagrange multipliers

With an inequality constraint …, the multiplier at a maximum point satisfies…

These problems allow inequality constraints, optional but good.

With an inequality constraint $g \leq k$ , the multiplier at a maximum point satisfies $λ \geq 0$ . Change the reasoning in 26.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.7 Constraints and Lagrange Multipliers, #27

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