Integer Programming Concepts and Methods

The video tutorial explains how to solve an integer programming problem using the cutting plane method. It begins by introducing the problem and its constraints, followed by a graphical approach to identify the feasible region. The objective function is evaluated at the corner points, and the cutting plane method is introduced to find integer solutions. Finally, the optimal solution is determined, ensuring it meets the integer constraints.

What is the objective function in the given problem?

• 2X1 + X2

• X1 + 2X2

• X1 + X2

• 2X1 + 2X2

Which method is used to solve the integer programming problem?

• Simplex Method

• Graphical Method

• Cutting Plane Method

• Branch and Bound Method

What is the first step in the graphical approach?

• Evaluating objective function

• Labeling axes

• Drawing constraints

• Identifying feasible region

What do the lines drawn in the graphical approach represent?

• Feasible region

• Constraints

• Objective function

• Optimal solution

How many corner points are identified in the feasible region?

• Six

• Five

• Four

• Three

What is the value of the objective function at point A?

• 3

• 0

• 7

• 22/3

Which point has the highest value of the objective function?

• Point C

• Point D

• Point B

• Point A

Why is the solution at Point D not acceptable?

• It is outside the feasible region

• It violates constraints

• It is not integral

• It is not a maximum

What is the purpose of generating a cut in the feasible region?

• To find a new objective function

• To simplify the problem

• To add more constraints

• To eliminate non-integral solutions

What is the new constraint added by the cut?

• X1 - X2 = 1

• X1 + X2 = 5

• X2 = 2

• X1 = 3