IE 222 (Spring 24) • Operations Research I • Midterm

What is Linear Programming?

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Example 10

Example 11

Solving LP with 2 variables

Example 1

Example 2

Example 3

Alternative Optimal Solutions

Example 4

Exam Like Question 1

Exam Like Question 2

Standard Form of LP

Example 1

Basic Solutions - Basic Feasible Solutions

Example 2

What is Simplex Method?

Example 3

Example 4

Example 5

Example 6 (Minimization)

Example 7 (Minimization)

Example 8 (Reverse)

Infeasible LP

Alternative Optimal Solutions

Unbounded LP

Degeneracy

Introducing Artifical Variables

Big M Method

Example 9

Example 10

Algebraic Solution of LP

Example 0

Sensitivity Analysis Procedure

Changing Coefficients of a Non-Basic Variable

Example 1

Example 2

Changing Right-Hand-Side of a Constraint

Example 3

Changing Coefficients of a Basic Variable

Example 4

Example 5

Introducing a New Activity

Example 6

Example 7

Linear Programming 1

Linear Programming 2

Linear Programming 3

Linear Programming 4

Linear Programming 5

Graphical LP Solution 1

Graphical LP Solution 2

Simplex Method 1

Simplex Method 2

Simplex Method 3

Simplex Method 4

Simplex Method 5

Simplex Method 6

Simplex Method 7

Simplex Method 8

Simplex Method 9