INE 2008 • 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 12

Example 13

Example 14

Example 15

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

Example 1

Example 2

Introducing Artifical Variables

Big M Method

Example 1

Example 2

Formulation of Linear Programming Models 1

Formulation of Linear Programming Models 2

Formulation of Linear Programming Models 3

Formulation of Linear Programming Models 4

Formulation of Linear Programming Models 5

Formulation of Linear Programming Models 6

Formulation of Linear Programming Models 7

Formulation of Linear Programming Models 8

Formulation of Linear Programming Models 9

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

Big M Method 1

Big M Method 2

Big M Method 3

Big M Method 4

Big M Method 5