Hi good morning:
As the following is a nonlinear programming problem, I think solve it through Lagrange multipliers
but I have some problems:
The Levins' fitness sets offer an interesting application of the notion of convex sets in . A genotype of a particular species can have different "fitness", and ,
in two different environments. Assume that all genotypes of the species correspond to the points of convex set , and .
What is the genotype (the set point) that maximizes:
(These are the fittest genotypes in the environment first, the environment, secondly, and a mixed environment, respectively).
Since this is a nonlinear problem, Taking Lagrange multipliers, we:
From Equation (1)
From Equation (2)
From Equation (3)
I understand that there is now clear that replacing each variable in equations (1), (2), and (3),
To put everything in terms of .
Find and make the Hessian matrix, so it would be nice '?. This not see it, I very much appreciate if you help me finish this exercise
a greeting and thank you very much