Group Project - Part 1

Math 110(E) Group Project Spring 2016

In this project, you will be opening a business on campus, and looking to expand your business further.  You will be applying the material that we learn about graph theory, probability, statistics, and financial mathematics to model your project.  Your final project will be due in class April 21, 2016.  As a final project, you must type a report summarizing your findings for all the objectives.  Your report should read as one continuous document, not a piecing together of different ideas.   The report must also show all details necessary to answer each objective.  You will present your results in a 15-20 minute presentation in class on April 19, 2016 or April 21, 2016.  Your presentation should be aimed at potential investors in your company.  You will summarize what you’ve done so far to improve your business and explain why the investors should invest in you.  Give your ideas for the future of your business and why you would benefit from their investment.  You are strongly recommended to use PowerPoint to give your presentation.  You are also encouraged to bring any handouts to support your case. 

You will be working on this project in groups of three.  You will have until February 2, 2016 to select your own group.  After this date, anyone who has not signed up with me to be in a group will be given a group assignment.

Due: February 4, 2016: First, you must select a type of business to open.  You should choose one of the following businesses: (1) Pizza Joint, (2) Ice Cream Shop, (3) Cookie Company, (4) Coffee Shop.  As a group, select a business type and create a name for your business.

You will receive new objectives at the start of each unit. 

Graph Theory Objectives: Draft due February 16, 2016

Graph Theory Objective 1:  Your business on campus has been successful, and you want to start adding customers from the St Joseph community.  You have been assigned to take pamphlets door to door in a portion of the community.  See Dr. McCune for your assigned region.   (A sample region is pictured below.) Given your map, create a graph to represent the area you’ve been assigned.  Develop a route that minimizes the number of streets that you must repeat.  Can you visit all the streets without repeating any streets? Why or why not? Explain, using a theorem from class.  If you cannot do it without repeating streets, what method from class can you use to try to minimize the number of streets repeated?

Graph Theory Objective 2: Your pilot business on campus at MWSU has been successful.  You want to expand your customer base to include college students in the Kansas City area.  In particular, you want to advertise your business to students at William Jewell College, the University of Missouri-Kansas City, Rockhurst University, Avila University, Johnson County Community College, and Park University.  Use google maps to find the distance between each of these schools and create a table to display the information.  Then create a graph to display this information.  You want to spend the day advertising your business to students at each school.  Using a concept from graph theory, find the best route to visit each school to advertise your business, beginning and ending at UMKC.   Be sure to show all of your work and explain why you used the method you chose.