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. a. Construct the activity network. b. List all paths with their time durations. Identify the critical path and the project completion time? Problem 2 A construction manager is responsible for developing a new site for residential home construction. He has identified the following activities, their predecessor activities, and their expected duration: 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. What is the project completion time? Problem 3 Use the following information to determine the probability of the project finishing within 42 weeks of its scheduled completion date. Assume Activities A-B - D EG are on the project's critical path: Problem 3 Use the following information to determine the probability of the project finishing within 42 weeks of its scheduled completion date. Assume Activities ABDEG are on the project's critical nath: a. Calculate the expected durations for each activity. b. Calculate individual activity variances as well as the variance for the overall project. c. What is the likelihood the project will be finished by Week 42 ? a. If you wanted to be 95% confident of delivering the project on time, how much additional time would you need to add to the schedule? 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