Math 177 Project (Linear and non-linear programming)
math代考 In this project you will use computational software (Python) to solve a linear programming project. You will need to:
In this project you will use computational software (Python) to solve a linear programming project. You will need to:
- Understand the problem by reading it carefully.
- Model the problem into an LP-problem.
- Transfer the problem into the standard form, if needed.
- Use Python to run the problem and determine the optimal solution.
- Write (and type) a report and submit it as a pdf file in (deadline: November 15)
- Submit your python file (extention .py) in Canvas (deadline: November 15) math代考
- Present your project at the end of the semester.
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: math代考
- the statement of the problem,
- a definition of each variable that you introduce, math代考
- 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.
Here is the problem: math代考
An Auto company must meet the following demands for cars during the next 4 months: month 1—4,000; month 2—2,000; month 3—5,000; month 4—1,000. At the beginning of month 1, there are 300 autos in stock, and the company has the capacity to produce at most 3,000 cars per month. At the beginning of each month, the company can change production capacity by one car. It costs $100 to increase monthly production capacity. It costs $50 per month to maintain one car of production capacity (even if it is unused during the current month). The variable cost of producing a car is $3,000. A holding cost of $150 per car is assessed against each month’s ending inventory. It is required that at the end of month 4, plant capacity must be at least 4,000 cars. Formulate an LP to minimize the total cost incurred during the next four months. math代考
