Answer the following question with step by step answers with explanation

1. Given the following information about a project: Precedent Activities Duration (Da 5) B (a) Compute the project duration and determine the critical path. (b) Calculate the total float, free oat and interfering float of the activities. (c) Draw the Gantt chart based on the earliest start time (ES-EF) for each activity. (d) Construct the resource allocation diagram based on the schedule. Then level the resources if the manpower available is limited to ten (10). 2. Given the following information on a research project: Activity Immediate Estimate Activity Activity Activity Predecessors Times (Days) Expected Variance a m b Time (to) A 3 5 7 B 3 5 C A. B 5 7 9 D B 4 6 8 E C, D 2 4 6 F E 2 3 4 G D. F 3 4 5 (a) Calculate the estimated duration, To for the project. (b) Calculate the probability that the project can be completed 2 days ahead of the estimated duration. (c) Determine the certain duration that the project can be completed.Given the date for a construction project: Activity Precedent Norma] Crash Normal Crash Cost slope Activities Duration Time Cost Cost (RM/day) (Days) (Days) (RM) (RM) A - 5 3 350 650 B - 3 2 200 350 C A. B \"i\" 4 500 800 D B 6 4 500 900 E C, D 4 2 400 600 F E 3 l 200 500 C: D, F 4 3 300 550 (a) Determine the cost slope for each activity. (b) Construct a network schedule for the project using the AON convention. (c) Calculate the total cost ol'the project if there is an indirect cost ol'RM 130 per days. (d) Determine the activity that should be crashed if you wish to reduce the duration by 2 days. Calculate the total project cost in this case. (e) Find the least possible time and costs in which the project can be completed. Note: You have to tin-crash the non-critical activities to determine the least possible cost