A table is assembled using three components, as shown in the following product structure tree. The company that makes the table wants to ship $80$ units at the beginning of day $4,120$ units at the beginning of day $5,$ and $160$ units at the beginning of day $7.$ Receipts of $80$ wood sections are scheduled at the beginning of day $2.$ There are $110$ legs on hand. An additional $20$ percent of the order size on legs is added for scrap allowance. There are $50$ braces on hand. Lead time $($in days$-$for all items is a function of each order quantity and is shown below.

$\backslash$table$[[$Order Quantity,Lead Time $($days$)],[1-160,1],[161-360,2],[361-800,3]]$

Prepare the material requirements plan using lot$-$for$-$lot ordering. $($Do not leave any empty spaces; input a $0$ wherever it is required.$)$

$\backslash$table$[[$Beg Production Schedule$],[\backslash$table$[[$Day$],[$Quantity$]],$Beg. Inv.,$1,2,3,\backslash$table$[[4],[80]],\backslash$table$[[5],[120]],6,\backslash$table$[[7],[160]]]]$

Table $(*$Variable LT$)$

Gross requirements

Scheduled receipts

Projected on hand

Net requirements

Planned$-$order receipts

Planned$-$order releases

Wood Sections

Gross requirements

Scheduled receipts

Projected on hand

Net requirements

Planned$-$order receipts

Beg. Inv.

$1$

$3$

$4,5$

$5$