2. Consider the following project activites: Activity Duration Predecessors A 1 None B 2 None C 1.5 None D 3 A, B E 2.5 C F 1.5 D, E G 4 F H 2 F a. Draw the project network diagram b. Identify all the paths through the network and their lengths. Are there any activities that are on all paths? c. Identify all the critical activites and path(s). How long will the enitre project take? d. Every day the project goes on costs the company $5,000 in overhead costs. One of the managers responsible for carrying out activity E feels she can crash the activity by 1 day through the use of overtime. The cost would only be $2,500. Should the company do it? Why or why not?