Question

Distinguish between feasible solution and optimal solution in a linear programming problem

Answer 1

A feasible solution is a set of values for the decision variables that satisfies all of the constraints in an optimization problem.  A local optimal solution is one where there is no other feasible solution "in the vicinity" with a better objective function value.

Answer 2

A feasible solution is a set of values for the decision variables that satisfies all of the constraints in an optimization problem. ... A local optimal solution is one where there is no other feasible solution "in the vicinity" with a better objective function value.