The sample project presented in this question involves the tasks of building a network security lab for a software company. Following is a list of tasks associated with duration (in days) and immediate predecessor(s) of each task of in this project. Please note that the resources allocated are listed as initials in Table 1, and the corresponding full resource names for each initial is given in Table 2. As an example, the resource PM that is assigned to task A in Table 1 is listed as Project Manager in Table 2 and has a cost of 250USD/hr Table 1. Task Table Table 2. Resource Table Re source Name Task ID Explanation Predessor Allocated uirements gatherin PM, PL ct mana ct leader PM E1, T1 B E2, T4 E1, CM1, CM2 P Feasibilit B E1, T1, T2, UA 190 ternative E2 r3 170 150 140 130 Choose one alternative cabling for room1 T2, CM3 ,E, F, G Infrastructure cabling for room2 Install routers PM, T2, CM3 T4, CM2 CM3 E2, T2, CM1 CM2 admin le man1 le man UA Test the overall system fine users 1.A.) (20 POINTS) Draw the AON (activity on Node) activity network manually. Show your step by step work in the process of building the activity network. 1.B) (20 POINTS) Show ES, EF, LS and LF values for each node in a tabular form as seen below. Explain how each value is calculated for each node ES LS EF LF 1.C.) (15 POINTS) Show slack (float) variables and non-slack variables. 1.D.) (20 POINTS)What is the critical path and what is its length? Please show your work. 1.E) (25 POINTS) Projects with large number of tasks and resources become impractical to solve manually. For this reason, automated CASE tools are provided. MS Project 2010 is one of them. In this part of the question, use MS Project 2010 to verify that the critical path you calculated manually in question 1.D is correct