# Rch d2 | Statistics homework help

Each week, you will be asked to respond to the prompt or prompts in the discussion forum. Your initial post should be a minimum of 300 words in length, with citation and is due on Sunday. By Tuesday, you should respond to two additional posts from your peers By Tuesday, between 75-150 words.

Linear Programming Models

Please refer to this example for a real world application of LP model by FedEx Company. (https://www.analyticsvidhya.com/blog/2017/02/lintroductory-guide-on-linear-programming-explained-in-simple-english/)

Can you find another good real world application of LP model and discuss the similarities between them (target functions, constraints, etc.)?

Alyssa Gutwein

It was difficult for me to find another specific real-world example of linear programming applied to an actual business like the FedEx example, so instead I found an example that explains how the restaurant industry might use linear programming on a daily basis (found in the link “How do restaurants use linear programming for menu planning?”). This example discusses how the first step in any linear program equation is determining the objective, and in this case the objective is how many of a menu item the restaurant should prepare to meet demand and stay within budget at the same time (Perez, 2017). The goal is to maximize the number of meals able to be prepared with limited amount of produce/ingredients. The next step is to identify the constraints such as the budget for  the day which must be kept in order for the restaurant to turn a profit. Using this information and a linear programming model, restaurants can determine how much of each menu item they are able to prepare and still stay within budget. This is the same concept and formulation used in the FedEx example. The delivery driver used linear programming to determine the best solution to his problem (getting all packages delivered in the shortest amount of time/distance possible). Once the objective was determined (delivering all packages in shortest amount of time) and the constraints were identified (limited time and gas), the delivery driver could calculate a formula using these numbers to find the best solution to the problem. This is essentially the same as the example about the restaurants where there was an objective that needed to be identified and solved for and constraints that had to be considered.

Kashyap, S. (2019). Introduction to Linear Programming and Optimization in Simple English. Retrieved from http://www.analyticsvidhya.com/blog/2017/02/lintroductory-guide-on-linear-programming-explained-in-simple-english/