3. (Adapted from PMS) Eight students are to be assigned to four dorm rooms at Oxford College. Based on roommate preference surveys, disutility scores are computed for each pair of studentsand these are given in Hwk2-data. xls. Formulate and solve a network LP to determine how to pair students to minimize aggregate disutility. There are multiple solutions to this problem, finding any one of them will suffice. Hint: If student 1 is assigned to student 6, you need to make sure that student 6 will not be assigned to someone else. How would you characterize this in terms of units of inflows and outflows