CHEMICAL EQUILIBRIUM PROBLEM

Chemical equilibrium problem - Min(cx + Sum_j(x_j log x_j): x > 0, Sum_j(x_j) = M, Ax=b), where the objective is the Gibbs free energy function for x_j = number of moles of species j, b_i = atomic weight of atom of type i, and A(i,j) = number of atoms of type i in one mole of species j. The equation, Ax=b, is mass balance. (Its significance is that it was an early application to show how an LP approach can apply to a nonlinear mathematical program.)