Given the following project being considered by a firm, draw the network diagram clearly. Find the "Estimated Activity Time" and "Standard Deviation". Compute the ES$,$ EF$,$ LS$,$ LF for all the activities. Compute the Slacks $($TS$,$ FS$,$ IS$).$ Identify the Critical Path after computing the time for all the paths.

Find the probability of completing the path with the longest expected duration $(1)$ by $17$ weeks; $(2)$ by $24$ weeks. By what time $($in weeks$)$ is management $90$ percent sure that this path will be completed? If the firm can complete the project for the funder within $18$ weeks, it will receive a bonus of $$10,000.$ But if the project delays beyond $22$ weeks, it must pay a penalty of $$5,000$ due to lost opportunity. If the firm can choose whether $($or not$)$ to bid on this project, what should its decision be if the project is only a breakeven one normally?

Table $2-$Data for Qn$.$ #$2$

$\backslash$table$[[$Activity Title,,Time $($wecks$)],[$Activity$,$Optimistic,Most Likely,Pessimistic$],[$B$,1-2$: Collect firm data,$5,11,11],[$C$,1-3$: Analyze data,$10,10,10],[1-4$: Determine need,$2,5,8,],[$D$,2-6$: Determine profitability,$1,7,13],[$E$,3-6$: Evaluate risk,$4,4,10],[$F$,3-7$: Interview owners,$4,7,10],[$G$,3-5$: Check references,$2,2,2],[$H$,4-5$: Evaluate industry,$0,6,6],[$I$,5-7$: Evaluate economy,$2,8,14],[$J$,6-7$: Decide funding,$1,4,7]]$