There are THREE $(3)$ questions in this section. Answer ALL questions in the Answer Booklet.

Question $1$

Semarak Perfume Sdn Bhd is a company that producing perfume for men and women. It started back in $2019$ and the product has been well distributed all around Malaysia.

Semarak Perfume Sdn Bhd has developed the business for the past five years and has approximately sales of more than $10$ thousand units of perfume per year. The task list is shown below for the assembly processes for per perfume. Assuming that, $60$ minutes per hour is productive and the demand per hour is $40$ perfume per hour than assign tasks to workstation using the longest task time heuristic.

$\backslash$table$[[$Task$,$Immediate predecessor,Task Time $($minutes$)],[$A$,-,1\mathrm{.}3],[$B$,$A$,0\mathrm{.}4],[$C$,$B$,1\mathrm{.}1],[$D$,$C$,0\mathrm{.}6],[$E$,$D$,0\mathrm{.}4],[$F$,$D$,0\mathrm{.}5],[$G$,$E$,$ F$,0\mathrm{.}9],[$H$,$G$,1\mathrm{.}5]]$

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$]$