A plumber has decided to use the techniques of project management in order to plan a job. He knew all the different activities of the job, their precedence and their average durations. They are shown on the table below. Activity A B D E Duration (days) 3 4 4 7 2 Preceding activities None None A A B and C Required: 1. Draw a network diagram representing the sequence of activities and the dependence between them. 2. Determine how long it will take to complete the job by conducting the forward pass 3. By conducting the backward pass, identify the critical path and the non- critical path(s)