A review of solvability of inequality-constrained optimization problems with non-linear functions

In this paper, we review techniques for solving inequality-constrained optimization problems with non-linear functions, emphasizing the Kuhn-Tucker (KT) method. The paper reviews their solvability ability as employed in solving inequality-constrained optimization problems. The necessary optimality conditions for obtaining optimal solutions for inequality-constrained problems are stated and discussed in this paper. The method of Kuhn-Tucker (KT) was used in solving for optimal solution of the inequality-constraints problem.