Gunstlon $55\mathrm{.}1.$Producing widgets involves fourteen production tasks, lettered a through n belo neach task, the time required to accomplish it is given, and the immediately precoding tEKProduction TaskbChmTime $($min$.)4541\mathrm{.}051\mathrm{.}17841\mathrm{.}264$Preceding TaskabCd, fC$.$ Draw the precedence diagram for this process$\mathrm{.}9$hkj$,$ mThe manager expects to produce $300$ widgets per eight$-$hour shift. The workers areallowed two$10-$minute coffee breaks per shift, and $40$ minutes is allocated to cleanup and maintenancetasks.a$.$ Is it possible to accomplish the objective of $300$ widgets per shift with only oneworkstation?$(1)$b$,$ What is the maximum possilble output with $14$ workstations $($one workstation devotedto each task$)?(1)(13)(19)$d$.$ What is the theoretical minimum number of workstations that will be required toachieve an output of $300$ pieces per shift?$(4)$