asked in category: General Last Updated: 6th March, 2020

# How many steps are there to obtain the solution of LP model by graphical model?

Graphical method of linear programming is used to solve problems by finding the highest or lowest point of intersection between the objective function line and the feasible region on a graph. This process can be broken down into 7 simple steps explained below.

Consequently, how graphical method solves linear programming problems?

The Graphical Method

1. Step 1: Formulate the LP (Linear programming) problem.
2. Step 2: Construct a graph and plot the constraint lines.
3. Step 3: Determine the valid side of each constraint line.
4. Step 4: Identify the feasible solution region.
5. Step 5: Plot the objective function on the graph.
6. Step 6: Find the optimum point.

Secondly, how do you solve a feasible region? The feasible region is the region of the graph containing all the points that satisfy all the inequalities in a system. To graph the feasible region, first graph every inequality in the system. Then find the area where all the graphs overlap. That's the feasible region.

Subsequently, one may also ask, what is unbounded solution?

An unbounded solution of a linear programming problem is a situation where objective function is infinite. A linear programming problem is said to have unbounded solution if its solution can be made infinitely large without violating any of its constraints in the problem.

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.

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