$1\mathrm{.}2$ An assembly line is shown in Figure $1.$ The process B occurs separately but simultaneously with the Process C$,$ while process E has three identical machines in parallel. All operations are done manually. One operator is assigned to each machine.

Figure $1$: Processes in an assembly line

a$)$ If the firm operates $8$ hours per day, $20$ days per month, determine bottleneck station and theoretical monthly capacity of the assembly line.

$(3$ marks$)$

b$)$ The company received customer orders in average of $2500$ units per month. Determine how many assembly lines have to setup to fulfil the demand.

$(1$ mark$)$

c$)$ Determine the percentage of efficiency if the actual output of this assembly line is $850$ units per month per assembly line.

$(1$ mark$)$