Friday, February 28, 2014

Economics in Choosing Class

Economics in Choosing Class
by Jackie, Yixuan, Van, Shijia

Jessica is an incoming Mount Holyoke freshman. She is asking advice for choosing classes. She is very interested in music and sports and, she is planning to major in Music. After researching through the music and PE class catalogues, she wants to choose between Scuba diving and swimming class, violin and piano class. To add more fun into her study life in Mount Holyoke, she decides to take the riding class and join the equestrianism team. As a freshman, she only has a very limited budget--2000$ to spend for the whole semester, and the budget is for mainly four parts—riding class, swimming class, music class and recreations, so she has to spend the money wisely.

Jessica loves swimming and she definitely wants to take her swimming skill onto next level. She starts to look at the PE classes, and she has two choices, regular swimming class or scuba diving class. If she takes Scuba diving class, she will eventually take the Scuba diving test and earn the certification. In this way, taking scuba diving class and taking certification test are complements. However, this would cost over 500$ not even including the travel expense. This takes almost ¼ of her budget, which is not very ideal. Then, look at the other option—regular swimming class. If she decides to take swimming class, she would only need to pay $25. Paying less money but enjoying swimming at the same time makes taking a swimming class a good deal. Its cost strictly limits within the budget constraint and still leaves room for other expenses, so she finally decides to take the swimming class, instead of the expensive scuba diving.

Jessica also has another hobby--horse riding. She knows Mount Holyoke has a brilliant equestrianism team and dreams of joining the varsity team. Taking horse-riding class costs approximately $800. Of course, for her, this is a huge amount of money. However, she is informed that as long as she makes to the varsity team, she does not need to pay for horse riding anymore. We are confident that she is talented and will eventually be accepted to the varsity team after taking several lessons of horse riding. The diagram of her budget constraint will look like this:


As Jessica’s hard work pays off, she will be able to enjoy horse riding for free. This satisfies her budget constraints and also leaves enough money for other activities.

Among all the instruments, Jessica chose violin and piano but she cannot decide between these two. She asked some professors from the music department, and she was told that she could take private lessons for both violin and piano. Furthermore, the two lessons cost nearly the same. Because of the limited budget, Jessica can only take one of these two lessons in order to learn the basic of music, which means violin lesson and piano lesson are substitutes. However in order to practice at home, she needs to own either a piano or a violin. Since Jessica’s mom had been a violinist, Jessica is able to get one free violin from her mom so that she can practice in her dorm. In this way, violin and violin class are complements. On the other hand, so are piano and piano class. If she chooses to play piano, she has to buy one for practice, which cost far more than the free violin and outweighs her original budget, so she can’t even afford it. Reasoning through, she found taking violin class is very economic for her. Thus, she decides to sign up violin class in the fall semester.


Now, Jessica is ready for her first semester in Mount Holyoke this fall.

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