Consider a project with the following activities details: a. Construct the network diagram representing the project b. List all the path from beginning to end and their completion times. c. Identify the critical path. How long is the project expected to take to completion? Problem 2 A public university is considering building a new multipurpose athletic complex on campus. The complex would provide a new gymnasium for intercollegiate basketball games, expanded office space, classrooms, and intramural facilities. The following activities would have to be undertaken before construction begin: a Draw the network diagram representing this project. b. Use the forward and backward pass method to label the network in full. Give a full schedule table (ES, EF, LS, LF, and slack) for each activity. c. Identify the critical path. How long is this project expected to take to complete? Problem 4 A company is introducing a new system for interoffice communication. The following table provides the activities that must be accomplished to complete the new office system project. Use the following relevant information about the activities' times and costs. a. Construct the project's network. Under normal time, what are the project's duration; project total cost; and the critical path? b. Calculate the crashing cost per week for each activity c. If the goal is to complete the project in 36 weeks, which activities should we crash and by how much and what will be the minimum total cost? Show all the steps. Problem 4 A company is introducing a new system for interoffice communication. The following table provides the activities that must be accomplished to complete the new office system project. Use the following relevant information about the activities' times and costs. a. Construct the project's network. Under normal time, what are the project's duration; project total cost; and the critical path? b. Calculate the crashing cost per week for each activity c. If the goal is to complete the project in 36 weeks, which activities should we crash and by how much and what will be the minimum total cost? Show all the steps