[Solved] FindRoot, infinite expression, sigular jacobian error

Questions
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1

Hi all!
I am trying to solve the attached system of equations. FindRoot is unable to solve despite trying different initial points. It either gives Infinite expression encountered or Singular Jacobian error. NSolve fails too with error message NSolve was unable to solve the system with inexact coefficients.
Any help is highly appreciated.

For_Wofram_Zee.nb (64.7 KB)

2

I found the problem is not with the root finder, it lies in the theory. Once the model is corrected, I get the solution.