# What is a unique optimal solution?

**unique optimal solution**. Our method requires the

**solution**of only one extra LPP such that the original problem has. alternative

**solutions**if and only if the

**optimal**value of the new LPP is positive. If the original

**solution**is not

**unique**, an. alternative

**solution**is displayed.

Regarding this, what is an optimal solution?

An **optimal solution** is a feasible **solution** where the objective function reaches its maximum (or minimum) value – for example, the most profit or the least cost. A globally **optimal solution** is one where there are no other feasible **solutions** with better objective function values.

Also Know, what is the optimal solution in linear programming? Definition: An **optimal solution** to a **linear program** is the feasible **solution** with the largest objective function value (for a maximization problem).

Keeping this in consideration, what is the difference between feasible solution and optimal solution?

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.

Do we always get an optimal solution in linear programming?

In **linear programming we have** a set of **linear** inequalities expressed in variables and a **linear** function **we** wish to minimise or maximise, expressed in the same variables. If the inequalities contradict each other, **we** might end up with an empty region, which implies that there is no '**optimal**' **solution**.