Consider the following network $($all times are in days$)$ Drawn an activity$-$on$-$arrow network diagram representing the project.identify the critical path and associated time.What is the Network Slack time assuming the customer specification calls for the project to be completed in $21$ days?Calculate the Event Slack for all events not on the critical path.What is the expected time for $68,95,$ and $99$ percent completion limits $($i$.$e$.$ the range$)?$Calculate the numbers of days needed to obtain a $75\%$ confidence level the project will be complete by$.\backslash$table$[[$Activity$,$Initial Node,Final Node,$\backslash$table$[[$Optimistic$],[$Time Estimate$]],\backslash$table$[[$Pessimistic$],[$Time Estimate$]],\backslash$table$[[$Most Likely$],[$Time Estimate$]]],[A,1,2,1,3,2],[B,1,4,4,6,5],[$C$,1,3,4,6,5],[D,2,6,2,4,3],[$E$,2,4,1,3,2],[F,3,4,2,4,3],[G,3,5,7,15,9],[H,4,6,4,6,5],[$I$,4,7,6,14,10],[$J$,4,5,1,3,2],[K,5,7,2,4,3],[$L$,6,7,6,14,10]]$