Hanna just got accepted into a graduate program at the University of Narnia, in the district of Hogwarts. After finishing her undergrad, she is impressed by the fact that she needs to create her own plan of study. In other words, she can take any course that is required to finalize her thesis project, as long as the total number of credits obtained at the end of the program is at least 100. She wants to develop a project in one of the following areas:Quality Optimization Supply Chain

Hanna needs to attend in-person classes two hours a week for each course that she selects. Besides that, she needs to use some time for extra-class activities, such as reading papers, meetings with her advisor, doing homework, among others. She estimates that 10 hours per week per course, in addition to the two hours for in-person lectures, will be sufficient. If Hanna understands and passes the class, her thesis will be improved. Not all the courses are equally useful for each topic. For example, the Quality Engineering course may be very useful if she wants to focus her thesis in the area of Quality, but it may not be that useful to improve her project if her thesis is focused on Optimization. After reviewing the whole set of offered courses and their syllabi (yes, she did invest a lot of time on it!), she created the following table that includes the name of the course, the number of credits, the semester that the course is going to be offered, and the two areas in which the course is focused. She is very interested in creating a top-level thesis project. She created a scoring system for this, and included it in the same table under the columns Main focus and Secondary focus. A course that has a certain area under the Main focus column would add 5 points to the thesis level, while a course that has a certain area under the Secondary focus column would add 3 points to the thesis level. If the area is not in any of these columns, it means that the course is not useful for her thesis project. In order to keep a good life-school balance, Hanna should sleep 8 hours daily and dedicate at least another 2 hours daily for self-hygiene, making food, among other activities. Also, leisure time is important. For each weekly hour that Hanna does something completely unrelated to the school (e.g., working out or hanging out with friends) her creativity will work in the back-end, and it may improve her thesis level. Hanna considers each weekly hour for this type of activity will give about 0.1 points, and she decides she wants to have at least 6 hours per day for leisure activities. (Important hint: some data are on a daily basis, and others on a weekly basis. I consider that the problem becomes much easier if everything is on the same basis, weekly or daily)

a) First, select quality as the area that Hanna will focus her thesis on. Utilize Mixed BIP to find the optimal plan of study for Hanna, balancing life and school, and creating a thesis of the highest level

b) Hanna has learned that independent study is also important. She likes reading journal papers on her own after classes and networking during conferences. The International Business Analysts (IBA) Annual Conference takes place during the Fall semesters. If she decides to attend that conference, it may boost her thesis level by another 4 points for each conference attended (Fall 2021 and Fall 2022), but will require her to spend two extra hours per week to catch up with other class activities. Should she attend the conference? (Do not answer this question by using a trial-and-error analysis; include the decisions of attending the conferences as decision variables to the model of part a

Course Credits Semester Main foous Becondary focus 8 ALL Fal 2021 Fal 2021 Fal 2025 ALL ALL 6 Supply Chain Optimization Optimization Supply Chain 6 7 7 7 Qusly Supply Chain Optimization Optimization Optimization Optimization Qusly Quality Supply Chain Supply Chain Optimization Optimization 6 6 Fal 2021 Fal 2021 Fal 2021 Fal 2021 Fal 2021 Fal 2021 Fal 2021 Spring 2022 Spring 2022 Spring 2022 Spring 2022 Spring 2022 Spring 2022 Spring 2022 Fal 2022 Foi 2022 Fal 2022 Optimization 7 Optimization 7 7 6 Introduction to Gred Methods: Probability and Statistics Introduction to Gred Methods Stochastic Processes Introduction to Gred Methods: Linear Programming Quality Engineering Stechestic Modeling I. Engineering Decision Making Under Uncertainty Queuing Theory Survey of Optimization Methods Linear Programming Fundamentals of Optimization Engineering statistics Simulation Modeling and Analysis Experiment Design and Regression Algorithms, Graphs, and Network Computational issues in Optimization Theory of Linear Systems Space Systems Engineering Systems Engineering Process Fundamentas of Ouidance for Aerospace Systems Project Management Troc Modeling Dimulation Advanced Production Control integrated Logistics and Distribution Oystems Cost Estimation Financial Modeling for innovation Computer integrated Manufacturing Systems (CIM). Manufacturing Automation Independent Study Advanced Quity Engineering Selected Topics in Polity Modeling Digital Systems Gimulation Advanced Experiment Design Large Scale Optimization Integer and Combinatoria Optimization Nonlinear Optimization Topics of Optimization Avance Concepts in Systems Engineering Transportation Systems Supply Chain Optimization Optimization Optimization Quity Supply Chain Quity Supply Chain Supply Chain Supply Chain Supply Chain Optimization Supply Chain Supply Chain QUIRY Supply Chain Gunity Quity 5 . Quity Supply Chain Quality Fal 2022 Fol 2022 F1 2022 pring 2023 apring 2023 Spring 2023 Spring 2023 apring 2022 Spring 2023 Spring 2023 Spring 2023 Spring 2023 Spring 2022 Spring 2023 apring 2023 Spring 2023 Spring 2023 $ 7 7 Supply Chain 7 Optimization QUI Optimization Optimization Optimisson Optimization QUIRY Supply Chain 7 Optimization