IND 208 • Midterm • Operations Research I

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

LP in Closed Form

Example 1

Example 2

Example 3

Example 4

Solving LP with 2 variables

Example 1

Example 2

Example 3

Alternative Optimal Solutions

Example 4

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

Example 9

Example 10

Introducing Artifical Variables

Big M Method

Example 1

Example 2

Two Phase Method

Example 3

Example 4

What is duality anyway?

Example 1

Example 2

Example 3

Meaning of Dual Varibles and Complementary Slackness

Example 4

Example 5

Linear Programming 1

Linear Programming 2

Linear Programming 3

Linear Programming 4

Linear Programming 5

Linear Programming 6

Linear Programming 7

Linear Programming 8

Linear Programming 9

Linear Programming 10

Linear Programming 11

Linear Programming 12

Graphical Solution 1

Graphical Solution 2

Graphical Solution 3

Graphical Solution 4

Graphical Solution 5

Graphical Solution 6

Big M Simplex 1

Two-Phase Simplex 1

Big M Simplex 2

Two-Phase Simplex 2

Big M Simplex 3

Two-Phase Simplex 3

Simplex Method 1

Simplex Method 2

Simplex Method 3

Simplex Method 4

Simplex Method 5

Simplex Method 6

Simplex Method 7

Duality 1

Duality 2

Duality 3

Duality 4

Duality 5

Duality 6