c$)$ A loan application process involves $8$ separate tasks. Task A takes $10$ minutes and does not require any other of the tasks to be performed before it can be started. Similarly, Task B can be started without any other task being completed and takes $8$ minutes. Task C takes $16$ minutes and cannot be performed until Task A has been done. Task D cannot be done until both A and B have been performed and takes $8$ minutes. Task E requires tasks C and D to be finished and takes $8$ minutes. After task E has been performed, Task F and G taking $5$ and $17$ minutes respectively can be performed. Finally, after Tasks F and G have been performed, Task H can be performed and takes $11$ minutes. $[15$ marks$)$

i$).$ Construct the precedence diagram.

ii$).$ Assign tasks to different stages assuming a required cycle time of $18$ minutes

iii$).$ Determine how many people will be required to perform the task, and if they are arranged in a 'product' layout, how the tasks will be allocated to each person?

iv$).$ Compute the balance delay for this layout.