Question $2$: LN Garment is introducing a new model of sweaters and needs to balance the process for its new production line, given the following task times, precedence relationships and precedence diagram as below. Assume that the cycle time is $20$ minutes. Task A$-8$ minutes; Immediate Predecessor: Nil Task B$-7$ minutes; Immediate Predecessor: Nil Task C$-4$ minutes; Immediate Predecessor: A$,$ B Task D$-6$ minutes; Immediate Predecessor: A Task E$-6$ minutes; Immediate Predecessor: D$,$ C Task F$-6$ minutes; Immediate Predecessor: C Task G$-4$ minutes; Immediate Predecessor: D$,$ F Task H$-6$ minutes; Immediate Predecessor: E$,$ G You are required to: a$.$ Calculate the minimum possible number of workstations $($Nmin$)$ required for this production process. b$.$ Assign tasks to stations by using the greatest number of followers decision rule. In case of a tie, then use the longest task time as the tie breaker to assign tasks to stations. c$.$ Draw the product layout with the assignment of tasks into each workstation. $[3$ Marks$]$ d$.$ Determine the efficiency of the process. e$.$ Compute the expected daily output rate for this production line assuming a $600-$minute working day. f$.$ Keeping the designed product layout and the operating time unchanged, LN wishes to improve the daily productivity and the efficiency both by $3\%$ without any additional cost:, how should LN do to achieve the target? You should provide clear justifications.