A final assembly $($A$)$ requires one week to assemble and has a component part $($B$)$ requiring two

weeks to fabricate. Three units of final assembly A and four units of part B are currently on hand.

The gross requirements for assembly A for the next $10$ weeks are as follows $($one part B is used on

each A$)$:

a$.$ What are the planned order releases for part B using lot$-$for$-$lot lot sizing for both parts A and B$?$

b$.$ What are the planned order releases for part $B$ using POQ$=2$ for both parts A and $B?$

The resource profile for the frame is as follows:

$\backslash$table$[[$Item$,$Work Center,Setup Hours,Run Hours$/$Unit$,$Lead Time$],[$Frame$,200,4,1\mathrm{.}5,0$ weeks$],[$Part A$,300,3,1\mathrm{.}0,1$ week$],[$Part B$,300,3,\mathrm{.}8,1$ week$],[$Part C$,400,2,1\mathrm{.}2,2$ weeks$],[$Part D$,500,2,1\mathrm{.}0,1$ week$]]$

Determine the capacity requirements for all work centers, assuming all usages are one, and that a new setup is required each week at each work center.