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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.6 Maxima, Minima, and Saddle Points, #41 · Multivariable Calculus · Gradient & optimization

Suppose the road from corner 1 is wider than the others, and…

These problems minimize the Steiner distance $f = d_{1} + d_{2} + d_{3}$ and related functions. A computer is needed for 33 and.

Suppose the road from corner 1 is wider than the others, and the total cost is $f (x, y) = 2 d_{1} + d_{2} + d_{3}$ . Find the gradient of $f$ and the angles at which the best roads meet.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.6 Maxima, Minima, and Saddle Points, #41

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