How do you minimize and maximize #f(x,y)=sinx*cosy-tanx# constrained to #0<x-y<1#?

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Answer 1 · 2017-02-19T09:41:12

See below.

There are infinite relative minima due to the objective function periodicity. The near points to the origin are located at

#((f(x,y),x,y,"type"),(0,-pi,-pi,"minimum"),(0,0,0,"minimum"),(0,pi,pi,"minimum"))#

Attached the feasible region plot with the level chart associated to the objective function.

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