Problem 1 (5 marks): You are managing a project for manufacturing a custom order product for the Air Control Company. The project tasks information is provided in the table below. ID Time COO Activity Order review Order standard parts Produce standard parts Design custom parts Software development Manufacture custom hardware Assemble Test Predecessor None A A A A C D BF EG 2 15 10 13 18 15 10 5 E F G H a) Based on the provided information, draw the network diagram for the project. Complete the forward and backward passes, and calculate the ES, EF, LS, LF times. Show the table with the calculations in the report. 2 marks b) Identify the critical path. 0.25 marks c) State the overall duration of this project, and elaborate on how sensitive the network schedule is. 0.5 marks d) Calculate the total slack and free slack for all noncritical activities, and in your report insert a table showing the total and free slack for the activities. 0.25 marks Using MS Project or Project Libre, create a project plan by entering the tasks, their durations, and predecessors. If needed, format the Gantt chart in order to have the critical path highlighted. Ensur that the critical path in the Gantt chart corresponds to the critical path that was calculated manually in section (c). Print the Gantt chart to a pdf file and include it in the assignment report. 1 marks f) In the tasks entry table in MS Project/Project Libre show the columns for the total and free slack. Insert a pdf printout of the task entry table showing the total and free slack in the project report. Compare to the slack amounts calculated in section (d). 0.25 marks g In MS Project/Project Libre display the network diagram for the project, print it to a pdf file, and include it in the report. 1.5 marks h) The company stated that you will receive a bonus for completing the project within 10 working weeks. Based on the project schedule, do you expect to receive a bonus on this project? 0.25 marks