MediumLagrange multipliers

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

(No maximum) Find a point on the line … where … is…

These problems develop the theory of Lagrange multipliers.

(No maximum) Find a point on the line $g = x + y = 1$ where $f (x, y) = 2 x + y$ is greater than 100 (or 1000). Write out $grad f = λ grad g$ to see that there is no solution.

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

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