A table is assembled using three components, as shown in the following product structure tree. The company that makes the table wants to ship $120$ units at the beginning of day $4,170$ units at the beginning of day $5,$ and $220$ units at the beginning of day $7.$ Receipts of $120$ wood sections are scheduled at the beginning of day $2.$ There are $140$ legs on hand. An additional $20$ percent of the order size on legs is added for scrap allowance. There are $45$ braces on hand. Lead time $($in days$)$ for all items is a function of each order quantity and is shown below.Order Quantity$1-220221-550551-1,100$Lead Time $($days$)1$TableWood sections $(2)$Braces $(3)$Legs $(4)$Prepare the material requirements plan using lot$-$for$-$lot ordering. $($Do not leave any empty spaces; input a $0$ wherever it is required.$)$DayQuantityBeg$.$ Inv.Production Schedule$1234120517067220$Table $(*$Variable LT$)$Gross requirementsScheduled receiptsProjected on handNet requirementsPlanned$-$order receiptsPlanned$-$order releasesBeg. Inv.Wood SectionsGross requirementsScheduled receiptsProjected on handNet requirementsPlanned$-$order receiptsPlanned$-$order releasesBeg. Inv.RrarasReg. Inv.BracesGross requirementsScheduled receiptsProjected on handNet requirementsPlanned$-$order receiptsPlanned$-$order releasesBeg. InvLegs$*20\%$ extra safety stockGross requirementsScheduled receiptsProjected on handNet requirementsPlanned$-$order receiptsPlanned$-$order releasesBeg. Inv$*$ Note that lead time is a function of lot size.