2. Suppose we want to schedule final exams for the courses listed below so that for each course, all sections take the exam at the same time. No professor can proctor more than one exam in a time slot, though they teach multiple courses. Course assignments are listed below. (The two tables include the same information, just sorted differently.) In addition to these restrictions, we know that there are several students taking more than one of these classes. We want to schedule so that their exams do not overlap. There are some students taking both Math 263 and Math 301, some taking both both Math 264 and Math 305, and some taking both Math 353 and Math 375. Use a graph model to determine the minimum number of times slots required. Be sure to explain your model, including what the vertices and edges represent. Math 262| Bu Math 262 | Lisi Math 262 | Nguyen Math 263 Bu Math 263 Longla Math 263 Reid Math 263 Roberts Math 264 Khan Math 264 Kocic Math 264 Roberts Bu Math 263 Bu Math 262 Dang Math 375 Khan Math 264 Кoсіc Math 264 Lisi Math 262 Lisi Math 319 Longla Math 263 Longla Math 353 Mina-Diaz Math 353 Math 264 s. Lee Nguyen Math 262 Math 301| Sheppardson Math 305| Sheppardson Math 319 Lisi Math 353 Longla Math 353 Mina-Diaz Math 353 S. Lee Math 375 Dang Math 375 Nguyen Nguyen Math 375 Reid Math 263 Roberts Math 263 Roberts Math 264 S. Lee Math 264 S. Lee Math 353 Math 375 Sang Sheppardson Math 301 Sheppardson Math 305 Math 375 Sang

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