## Tutoring on Linear Programming

Learning Objectives:

#### Understand and Apply Linear Programming.

Math Tutoring on Linear Programming

Linear Optimization or Linear Programming is a method used to maximize or minimize a quantity given by a linear equation under certain constraints or restrictions.

A Linear Programming Problem consists of:

1) A linear function called an Objective Function that is to be maximized or minimized.

2) A system of linear inequalities called the constraints. The solution to the system of inequalities is called Feasible Region. Steps to Solve a linear programming problem:

1) Define the variables.

2) Write the objective function and state whether to maximize or minimize the function.

3) Write the constraints.

4) Graph the constraints and determine the feasible region.

5) Identify the vertices of the feasible region.

6) Test the vertices in the objective function to determine the maximum or minimum function value.

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Hook Questions:

1. What is Linear Programming?

2. How to use Linear Programming in Maximizing profit?

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