The following table shows orders to be processed at a machine shop as of $8$:$00$ a$.$m$.$ Monday. The jobs have different operations they must go through. Processing times are in days. Jobs are listed in order of arrival.

Job Processing

Time $($Days$)$ Due Date

$($Days$)$ Remaining Number

of Operations

A $8202$

B $10184$

C $5255$

D $11173$

E $9354$

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a$.$ Determine the processing sequence at the first work center using each of these rules: $(1)$ First come, first served, $(2)$ Slack per operation. $($Hint: In case of a tie choose the jobs in alphabetical order.$)$