A product design project is broken down into 10 activities as listed below. Predecessor Activity A Time (weeks) 4 B 2 4 D 3 E A B,C 5 F 6 G D 2 . 3 E F,G 1 7 J H 7 a) Draw a Gantt chart for the project assuming each activity starts as early as possible. b) Draw the activity-on-node (precedence diagram) of the project. c) Compute the earliest start, earliest finish, latest start, latest finish, and slack times of the activities using the critical path method. d) What is the project duration? e) Which activities are critical? f) What is(are) the critical paths of the project? g) Suppose all activities except A and C can be shortened by 1 week each. The crash cost is $5,000 per week per activity. Which activities would you shorten in order to shorten the project duration by three weeks? In which sequence should these activities be shortened? How much crashing cost will be incurred to reduce the project duration by three weeks? What is (are) the critical path(s) of the project after crashing