We are using Apple as our company and plan on inventing Apple Appliances

Integrative Project You and your partner(s) have been hired by _____ and you will be responsible for the formulation, solution, and analysis of three mathematical models. The models should be designed to improve your organization. The objective of this assignment is to illustrate the applicability of models to create a new product or service. Think about your company and how you can use the models weve learned in class to determine what product(s) or service(s) might be fitting and what steps that might entail. You should provide your organization with new information; you must tell them something they dont already know. The specifics of the project are up to you, but the models below must be used and should all be designed to address the new product/service. The order of models used in the system is for you to decide. You should sequence them in such a manner that they help introduce the new product/service. You will also rate the participation and contribution of your partner(s). Analysis of a Linear Programming Model Based on the project you decide to create, you will need to formulate a Linear Program. Your linear program will have at least 4 variables and at least 5 constraints. Standardize all constraints where applicable. Media Selection LPs will not be accepted. You should also solve and interpret the sensitivity analysis, discussing the results most relevant to your problem. Analysis of a Forecasting Model You will need to use a multiple regression model (including correlation) with at least two predictors. Provide rationale for why those predictors were used. You should conduct a confidence interval analysis for your prediction. Finally, discuss how well your multiple regression model predicts your desired outcome and which variable is the best predictor of your outcome. Your model must have at least 8 data points. Analysis of a PERT/CPM Model Your model needs to be designed for uncertain conditions and should be accompanied by analyses for at least two probability circumstances, including a budget for the project that reflects your completion time(s). Your model must have at least 9 activities.

Integrative Project Report Outline You should produce a written report of your model applications. Your report should include the following elements. I. Cover Page II. Table of Contents (1 Page) III. Introduction (1-2 Pages) The introduction should include a brief summary of your company. What do they do? What products, services, processes, and/or inputs do we need to know in order to understand the company? Moreover, what is the organizations new products or services that you will introduce? Describe your models and how they will address the issues. IV VI. Analysis of Each of the Three Models (2 Pages Each) The order of the models is for you to decide whatever most clearly addresses the various elements that are needed to develop your new product or service. For each model, you should discuss the purpose of the model. You should describe the details of each model. Additionally, provide the solution for each model. Be sure to address the various elements required of each model. Finally, each model should include an interpretation. What is the meaning of the results and how do they apply to the company and its issue? (Exact formulas should not be included in the body of the paper but should be identified in the appendices.) VII. Implementation (1-2 Pages) What comes next? Describe how your new product(s) or service(s) will be implemented. Based on the results of your analysis, what needs to change in the organization? What timeframe will you establish for making these changes? Who should be involved in the changes and who needs to know about them (e.g., internal and/or external people)? Etc. VIII. Conclusion (1 Page) Finally, describe the overall results of the models and explain how it has addressed the issue within your company. Appendix A Model One Formulation & Solution Appendix B Model Two Formulation & Solution Appendix C Model Three Formulation & Solution