How do you solve a linear programming problem using graphical method?

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.

What is linear programming problem illustrate with an example?

The most classic example of a linear programming problem is related to a company that must allocate its time and money to creating two different products. The products require different amounts of time and money, which are typically restricted resources, and they sell for different prices.

How do you solve graphical method in operation research?

Step 1: Find the feasible region of the LLP. Step 2: Find the co-ordinates of each vertex of the feasible region. These co-ordinates can be obtained from the graph or by solving the equation of the lines. Step 3: At each vertex (corner point) compute the value of the objective function.

How do you minimize linear programming?

Minimization Linear Programming Problems

1. Write the objective function.
2. Write the constraints. For standard minimization linear programming problems, constraints are of the form: ax+by≥c.
3. Graph the constraints.
4. Shade the feasibility region.
5. Find the corner points.
6. Determine the corner point that gives the minimum value.

How do you solve a minimization problem?

Solve a Minimization Problem Using Linear Programming

1. Choose variables to represent the quantities involved.
2. Write an expression for the objective function using the variables.
3. Write constraints in terms of inequalities using the variables.
4. Graph the feasible region using the constraint statements.