Scheduling classes in college can be very similar to the previous scenario. Over four years, there are certain classes that you must take, and many classes have prerequisites-classes that must be taken first. Suppose you need to take the following classes with the identified prerequisites. Class Prerequisite Calculus I None Calculus II Calculus I Physics I Calculus I Physics II Physics Psychology I None Speech Non Argument and Debate Speech 1. Construct an activity graph for this situation using the following rules: Create Start and Finish squares. Any activity that can be performed right away is connected to Start. Activity A is connected to Activity B by an arrow only when Activity A needs to be performed directly before Activity B. . Any activity that does not precede any other activity can be connected to Finish. 2. Identify the longest path from Start to Finish. How long is this path? 3. If each class is a semester long, how many semesters are needed to take all these classes? 4. If you want to finish these classes as soon as possible, which classes should you not delay taking? 5. How long could you wait to take Psychology I without delaying your overall program of classes? 6. How long could you wait to take Speech without delaying your overall program of classes? 7. Given any activity graph like the previous ones, explain how you would determine the minimum time required to perform all activities.8. Activities that cannot be delayed without increasing the minimum time for completion are called critical activities. Given any activity graph like the previous ones, explain how you would determine which activities are critical activities. You are leading a group that is designing and building a robot; the group is divided into several teams. The following table indicates the different activities that go into this complex process, which teams are in charge of which activities, the number of individuals from that team dedicated to that activity, how long the activity will likely take, and which activities must be completed before an activity can be started. Time to Must First Activity Complete Finish Team No. of (in Weeks) Activity... Members Sensory Program (SP) None Computer 3 programmers Artificial Intelligence (Al) 5 None Computer 3 programmers Motion (M) 10 SP, AI Computer 3 programmers Voice System (VS) 3 Al Computer 3 programmers Eye Design (ED) 5 SP Engineers 3 Arm and Leg Design (ALD) 3 M Engineers 3 Body Design (BD) 4 Hone Engineers 3 Head Assembly (HA) 5 VS, ED Technicians 3 Torso Assembly (TA) 2 BD Technicians 3 Arm and Leg Assembly (ALA) 8 ALD Technicians 3 Appearance (A] 2 TA, ALA Technicians 3 Final Assembly (FA) HA, TA, ALA Technicians 3 9. Using the information in the first three columns of the table, build an activity graph. Include Start and Finish boxes. 10. Assuming the times given for each activity are accurate, what is the minimum time required to design and build the robot?11. At what point in the timeline does each activity (for the completion of the entire robot) begin and end? 12. Which of the 12 activities are critical activities