Problem: Develop an MRP schedule for Item $x,$ we aim to deliver $100$ units of item $x$ at the start of week $4$ and $150$ units of item $x$ at the start of week $8.$

Given the following information:

$\backslash$table$[[$Component$,$Lead Time$],[$X$,1$ week$],[$A$,2$ weeks$],[$B$,1$ week$],[$C$,1$ week$]]$

$\backslash$table$[[$Component$,\backslash$table$[[$On$-$hand Inventory Or$],[$Scheduled Receipt$]]],[$X$,0],[$A$,0],[$B$,50],[$C$,0]]$

$\backslash$table$[[$Component$,$Required component$],[x,2$ A$,4$ B$],[$A$,1$ C$],[$B$,3$ C$]]$

Under lot$-$for$-$lot policy determine the timing and quantity for planned$-$order releases to meet the demand for Item $x$ under these conditions.

Master Schedule of Item X:

$\backslash$table$[[\backslash$table$[[$Week$],[$Number$]],\backslash$table$[[$Beg$.],[$Inv$.]],1,2,3,4,5,6,7,8],[$Quantity$,,,,,,,,,]]$

$\backslash$table$[[$X$,$Gross Requirements,,,,,,,,,$],[,$Scheduled Receipt,,,,,,,,,$],[,$Projected on hand,,,,,,,,,$],[,$Net Requirements,,,,,,,,,$],[,$Planned$-$order receipt,,,,,,,,,$],[,$Planned$-$order releases,,,,,,,,,$]]$

$\backslash$table$[[$A$,$Gross Requirements,,,,,,,,,$],[,$Scheduled Receipt,,,,,,,,,$],[,$Projected on hand,,,,,,,,,$],[,$Net Requirements,,,,,,,,,$],[,$Planned$-$order receipt,,,,,,,,,$],[,$Planned$-$order releases,,,,,,,,,$]]$

$\backslash$table$[[$B$,$Gross Requirements,,,,,,,,,$],[,$Scheduled Receipt,,,,,,,,,$],[,$Projected on hand,,,,,,,,,$],[,$Net Requirements,,,,,,,,,$],[,$Planned$-$order receipt,,,,,,,,,$],[,$Planned$-$order releases,,,,,,,,,$]]$

$\backslash$table$[[$C$,$Gross Requirements,,,,,,,,,$],[,$Scheduled Receipt,,,,,,,,,$],[,$Projected on hand,,,,,,,,,$],[,$Net Requirements,,,,,,,,,$],[,$Planned$-$order receipt,,,,,,,,,$],[,$Planned$-$order releases,,,,,,,,,$]]$