3. (20 POINTS) A product development project is planned to contain the activities shown in the table below, along with their required completion times and precedence. (a) Draw the CPM network diagram for the project, labeling all activities and times. (b) Perform a forward pass and backward pass through the network to determine the critical path, the expected duration of the project, and the slack time for each activity. 3. (20 POINTS) A product development project is planned to contain the activities shown in the table below, along with their required completion times and precedence. (a) Draw the CPM network diagram for the project, labeling all activities and times. (b) Perform a forward pass and backward pass through the network to determine the critical path, the expected duration of the project, and the slack time for each activity