Linear Programming Concepts and Techniques

This video tutorial explains the concept of linear programming and its objectives, focusing on minimization and maximization. It introduces the graphical method as a technique to solve linear programming problems with two variables. The tutorial provides a detailed walkthrough of solving a maximization problem using the graphical method, including plotting constraints, identifying the feasible region, and determining the optimum solution.

What are the two main objectives of linear programming in an organization?

• Minimization of resources and maximization of time

• Maximization of resources and minimization of time

• Maximization of cost and minimization of profit

• Minimization of cost and maximization of profit

Which method is suitable for solving linear programming problems with only two variables?

• Simplex method

• Graphical method

• Dual Simplex method

• Big M method

What is the first step in solving a linear programming problem using the graphical method?

• Convert constraints into equations

• Identify the objective function

• Plot the constraints on a graph

• Find the feasible region

In the given problem, what is the objective function to be maximized?

• Z = 10X1 + 20X2

• Z = 8X1 + 8X2

• Z = 12X1 + 16X2

• Z = 6X1 + 6X2

How do you determine the feasible region in a graphical method?

• By finding the intersection of the objective function and constraints

• By identifying the area below the constraint lines

• By plotting the objective function

• By calculating the maximum and minimum values

What is the optimal solution for the given maximization problem?

• X1 = 0, X2 = 0

• X1 = 10, X2 = 0

• X1 = 8, X2 = 2

• X1 = 0, X2 = 6

What is the maximum value of Z in the given problem?

• 96

• 128

• 0

• 120