Make up a scheduling problem that would be of some interest to you, similar to what we did in Exercise 67. Use graph theory to develop a solution. Assume that the registrar at your school is building a final exam schedule and because the following courses are known to be particularly difficult, the registrar does not want any student to take finals for two of them on the same day. The courses are Anth215, Bio325, Chem264, Mat311, Phy212, Fin323, and ComD265. The table indicates which courses have students in common and therefore should have their finals on different days. Assume that two courses are related if they have any students in common. Model this set of courses with a graph and use it to design a final exam schedule. Course Has students in common Anth215 Bio325, Chem264, Mat311, Fin323, ComD265 Bio325 Chem264, Fin323 Chem264 Mat311, Phy212 Mat311 Phy212, Fin323, ComD265
Make up a scheduling problem that would be of some interest to you, similar to what we did in Exercise 67. Use graph theory to develop a solution. Assume that the registrar at your school is building a final exam schedule and because the following courses are known to be particularly difficult, the registrar does not want any student to take finals for two of them on the same day. The courses are Anth215, Bio325, Chem264, Mat311, Phy212, Fin323, and ComD265. The table indicates which courses have students in common and therefore should have their finals on different days. Assume that two courses are related if they have any students in common. Model this set of courses with a graph and use it to design a final exam schedule. Course Has students in common Anth215 Bio325, Chem264, Mat311, Fin323, ComD265 Bio325 Chem264, Fin323 Chem264 Mat311, Phy212 Mat311 Phy212, Fin323, ComD265
Solution Summary: The author explains how graph theory can be used to solve a scheduling problem similar to Exercise 67.
Make up a scheduling problem that would be of some interest to you, similar to what we did in Exercise 67. Use graph theory to develop a solution.
Assume that the registrar at your school is building a final exam schedule and because the following courses are known to be particularly difficult, the registrar does not want any student to take finals for two of them on the same day. The courses are Anth215, Bio325, Chem264, Mat311, Phy212, Fin323, and ComD265. The table indicates which courses have students in common and therefore should have their finals on different days. Assume that two courses are related if they have any students in common. Model this set of courses with a graph and use it to design a final exam schedule.
Since Thorndike “Graph-Pro” racquetball racquets were introduced several years ago, no attempt has ever been made to offer a lightweight version. Ted has done some research and found that some of the other manufacturers offer a lighter version of their standard racquet. In addition, some of the racquetball players he has talked to have said a lighter racquet would probably improve their game.
Talking with production engineers, Ted learns that the racquets coming off the line don’t all weigh the same anyway. According to the chief engineer, the racquets weigh an av- erage of 240 grams, but the weights “vary all over the lot,” and he takes advantage of the situation to press for a high-tech $700,000 machine that would produce racquets of equal quality while holding this variation within narrower limits.
Old Luke isn’t too keen on buying a $700,000 machine, especially since Ted might have a better solution. Ted has dusted off the literature that accompanied the racquet-production…
I have a graph analysis question on some extra practice that my teacher assigned, I finished answering this question, but I wanted to make sure I was doing it properly, as I am not very good at the graph analysis questions.
Show your work
Without a graph
Chapter 4 Solutions
Mathematics All Around, Books a la carte edition (6th Edition)
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