linear programming

1. Linear Programming Project

Overview

For this assignment,

You choose the project.  Conduct a Review of the Literature (ROL) on the internet for data on your topic you choose.  Use the Integer model to Count the number of people, machines, or vehicles in a project, or the Mixed Integer Model to determine the number of units (integer) and the number of acres (real number) leased. CoVid reports on your city would be excellent topics (Virginia Beach).  You may want to diagnose your current business (Property Management), or a potential start-up business.  It’s your choice!

• It will be a problem with at least three constraints and at least two decision variables.

• The problem will be bounded and feasible. It will also have a single optimum solution (in other words, it won’t have alternate optimal solutions).

• The problem will also include a component that involves sensitivity analysis and the use of the shadow price.

Instructions

You will be turning in two deliverables, a short writeup of the project, and the spreadsheet showing your work.

Writeup

Your writeup should introduce your solution to the project by describing the problem.

• Correctly identify what type of problem this is. For example, you should note if the problem is a maximization or minimization problem, as well as identify the resources that constrain the solution.

• Identify each variable and explain the criteria involved in setting up the model. This should be encapsulated in one or two succinct paragraphs.

• After the introductory paragraph, write out the LP model for the problem. Include the objective function and all constraints, including any non-negativity constraints. Then, you should present the optimal solution, based on your work in Excel. Explain what the results mean.

• Finally, write a paragraph addressing the part of the problem pertaining to sensitivity analysis and shadow price.

Spreadsheet

Please set up your problem in QM for Windows or Excel and find the solution using Solver.

• Clearly label the cells in your spreadsheet.

• You will turn in the entire spreadsheet, showing the setup of the model, and the results.

This course requires the use of Strayer Writing Standards. For assistance and information, please refer to the Strayer Writing Standards link in the left-hand menu of your course. Check with your professor for any additional instructions.

The specific course learning outcome associated with this assignment is:

• Determine an approach to a problem that uses a linear programming model.

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