$[4$ marks$]$ You are required to fill Table $1$ to prepare a master schedule for F$.$ Each time when the firm assembles $F,$ the firm always uses the "lot size of $80"$ rule to make $F.$ The firm's assembly time for $F$ is one week. The beginning inventory for $F$ is $110$ ; the forecast and promised customer orders for this end item are provided in this table.

$\backslash$table$[[$Week$,1,2,3,4,5,6,7,8],[$Forecast$,35,35,30,30,45,45,45,40],[$Customer orders $($committed$),37,26,20,10,5,5,0,0],[$Projected on$-$hand inventory,,,,,,,,$],[$Net Inventory Before MPS$,,,,,,,,],[$MPS Receipt,,,,,,,,$],[$MPS Start,,,,,,,,$],[\backslash$table$[[$Available$-$to$-$promise$],[$inventory $($uncommitted$)]],,,,,,,,]]$

Table $1$: MPS table for the end item $F$ in Question AQ$4.$

$2.[8$ marks$]$ Use the master production schedule for $F$ in Table $2$ to develop material requirements plans $($MRPs$)$ for components A and B$.$ Note that you are required to finish the MRP table $-$ i$.$e$.,$ Table $2-$in which you can find the present on$-$hand quantity $($i$.$e$.,$ the beginning inventory$),$ lead time, ordering rule and scheduled receipts for each of the components A and B$.$

$3.[2$ marks