Q$3($Ref: Q$.9-22,$ p$\mathrm{.}428$of textbook$)$:The following table provides necessary information to construct a project network and project crash data:ActivityPredecessorActivity Time $($weeks$)$Activity Cost $($$$)$NormalCrashNormalCrash$1-2081,0001,4802-24201,2001,4003-1477001,1904110650082053115550730($a$)$Construct the project network. $($b$)$Determine the maximum possible crash time for the network, and crash the network the maximum amount possible. $($c$)$Compute the normal project cost and the cost of the crashed project.