Question ) Assuming that each professor can reach a most course write 4 constraints corresponding to the Professor agent side of the assignment model I OD Question 9) Now write the three constraints corresponding to the Course (task) side of the assignment model A BIO ES % $ US * ** me I c ion 10) Professor 2 is assigned to the PhD course. Professor 4 has to teach the UG course. Write the constraint addressing this situation. - BIO: E % SBU & * * E * 1 1 1 I The department head of a management department at a large university in the Northeast will be scheduling faculty to teach courses during the coming fall semester. The core course need to be UG. MBA and PhD levels. Four professors are available to teach in all student evaluations of professors are w e from previous semester. Based on a wing scale of exce lgood ( 1 (poor, the average student evaluations for each professor are shown. Professor 4 does not have a PhD and cannot be d to teach the level course. The department makes teaching assignments based on m imiting the student evaluation ratings over all 3 courses. Answer the following questions (5-10 Question 6) What kind of decision variables do you need to model this assignment problem? Professor Select one a. Regular (continuous) variables b. Integer variables c. Binary variables O d. A mix of continuous and binary variables Question 7) Using the following notations: Xiu Xim. X4p. please write the objective function of the problem in the space provided below. A B I Do E E US *** I c >