MATH 177 Arizona State University Linear and Non Linear Programming Project

In this project you will use computational software (Python) to solve a linear programming project. You will need to:

1. Understand the problem by reading it carefully.

2. Model the problem into an LP-problem.

3. Transfer the problem into the standard form, if needed.

4. Use Python to run the problem and determine the optimal solution.

5. Write (and type) a report and submit it as a pdf file.

6. Submit your python file (extention .py).

Your completed project should be neatly typed describing how you solved the linear programming prob- lems, and what policy the company should take in each problem to optimize the benefit. Your project should address the following:

• the statement of the problem,
• a definition of each variable that you introduce,
• the mathematical formulation of the constraints and the objective function,
• the initial simplex matrix that you entered into the Python program,
• the final simplex matrix given by the computer program,
• a description of the solution, including an interpretation of the values of all variables and what they represent in the original problem.