Doubt in using a multiple objective optimization solver (gamultiobj)

Hi,

I have five objective functions with 15 constraints. I am from economics and I have a 'system' of optimzation functions that I am trying to solve which includes- utility maximization constrained by wealth, cost minimization constrained by production function and then, I have 5 more equations to solve the above objective functions. All I want to ask is: whether I can solve this kind of a problem with gamultiobj or any other solver? I am writing the problem symbolicaly below:

Max (obj func 1)

wr.t. Wealth equation for region 1 and wealth equation for region 2

Min cost function 1

w.r.t. Production fun 1

Min cost function 2

w.r.t Production funtion 2

And then, zero profit equation, two market clearing equations and land and water constraints for both regions.

Also, I should mention that I have non-linear equality constraints. I tried putting these in the solver and it gave me error. Before showing the equations, I wanted to share what I am trying to look for so that it's not fundamentally incorrect.

Thanks in advance !