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.

Order Quantity Lead Time $($days$)$

$11601$

$1613602$

$3618003$

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

Production Schedule

Day Beg. Inv. $1234567$

Quantity $80120160$

Table $(*$Variable LT$)$ Beg. Inv. $1234567$

Gross requirements

Scheduled receipts

Projected on hand

Net requirements

Planned$-$order receipts

Planned$-$order releases

Wood Sections $*$ Beg. Inv. $1234567$

Gross requirements

Scheduled receipts

Projected on hand

Net requirements

Planned$-$order receipts

Planned$-$order releases

Braces $*$ Beg. Inv. $1234567$

Gross requirements

Scheduled receipts

Projected on hand

Net requirements

Planned$-$order receipts

Planned$-$order releases

Legs $*$

$20\%$ extra safety stock Beg. Inv. $1234567$

Gross requirements

Scheduled receipts

Projected on hand

Net requirements

Planned$-$order receipts

Planned$-$order releases

$*$ Note that lead time is a function of lot size.