6. You work as a project manager for the construction of a villa. The project information is shown in the following table: Activity Description Predecessors Duration (days) Site survey Architectural design A Swimming pool installation 14 Construction permit B E Excavation Pour foundation IE G Plumbing works F, I Electrical works G Landscaping C Painting G, H, I a. Draw the network Diagram for the project b. Calculate early start (ES), early finish (EF), late start (LS), late finish (LF), and Slack for each activity: ES EF LS LF Slack Activity A B C D K c. Which path is the critical path