Question $1$

The 'Sambal Nyet' product produced by 'content creator' or famous content creator, Khairul Aming has now sold $2\mathrm{.}4$ million bottles after approximately two years and eight months of being on the market for almost three years. The task list is shown below for the assembly processes for Sambal Nyet. Assuming that $55$ minutes per hour is productive and the demand per hour is $50$ products per hour than assign tasks to workstation using the longest task time heuristic.

$\backslash$table$[[$Task$,$Immediate Predecessor,Task Time $($minutes$)],[$A$,-,0\mathrm{.}9],[$B$,$A$,0\mathrm{.}4],[$C$,$B$,0\mathrm{.}6],[$D$,$C$,0\mathrm{.}2],[$E$,$C$,0\mathrm{.}3],[$F$,$D$,$ E$,0\mathrm{.}4],[$G$,$F$,0\mathrm{.}7],[$H$,$G$,1\mathrm{.}1]]$

a$)$ Draw a precedence diagram

$(3$ Marks$)$

b$)$ Compute the cycle time.

$(2$ Marks$)$

c$)$ Determine the minimum number of workstations.

$(3$ Marks$)$

d$)$ Assign task to workstation using the longest task time heuristic.

$(10$ Marks$)$

e$)$ Calculate the utilization of the solution.

$(2$ Marks$)$

$[$Total: $20$ Marks$]$