2. Now assume that the above problem is a College Admission Problem where the women are the colleges and the men are the students. Let q1 = 92 = 2 and 93 = 94 = q= = 1. What are the student-optimal and college-optimal matchings? Show how you find these. 3. Show that the College-Proposing rule can be manipulated by a college at the preference profile given below. Assume that q1 = 92 = 2 and 93 = 94 = 1. College preferences: 1 2 3 4 O N Student preferences: 2 3 4 5 6 W A AN w t A AN N W N