Is an analytic solution possible for this problem: find an expression for maximum of p subject to constraints f=0, g=0, h=0? The feasible range is: T1, T2, R, Rthhot, Rthcold, and Z>0. I know how to solve it using either FindMaximum or Langrage multiplier if I assign numerical values to T1, T2, R,…

This may be a start: jacobian = D[{p[X, Y, Rload, Rth, S], f[X, Y, Rload, Rth, S], g[X, Y, Rload, Rth, S], h[X, Y, Rload, Rth, S]}, {{X, Y, Rload, Rth, S}}]; eqs = Minors[jacobian, 4] // First // Simplify sol34 = Solve[ eqs[[3]] == 0 && eqs[[4]] == 0 && S != 0 && Rth != 0 && Rloa…

I tried the code, but it was unsuccessful. Perhaps I should pose the question differently: This is the problem: the parameters are T1, T2, R, Rthhot, Rthcold, and Z with feasible range >0. The variables are Rth and Rload. X and Y are functions of Rload and Rth given by the 2 equations: 0=-(T1 -…

Is an analytic optimization solution possible?

Questions

neils (Neil Singer) December 23, 2021, 1:59pm 4

@Frank Kampas posted some code years ago that may help you.

Regards.

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Is an analytic optimization solution possible?

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