$\backslash$table$[[$Item$,$Data,Units$],[$Production time required,$4\mathrm{.}5,\backslash$table$[[$labor$],[$hours per$],[$unit$]]],[$Straight time labor cost,$$24,$per hour$],[$Workday$,75,\backslash$table$[[$hours per$],[$day$]]],[$Beginning Inventory,$250,$units$]]$

$\backslash$table$[[$Item$,$Data,Units$],[\backslash$table$[[$Safety$],[$stock$],[$target$]],10\%,\backslash$table$[[\%$ of$],[$monthly$],[$forecast$]]],[\backslash$table$[[$Shortage$],[$cost$]],$$$75,$per unit$],[\backslash$table$[[$Inventory$],[$holding$],[$cost$]],$$$10,\backslash$table$[[$per unit$],[$per month$]]],[\backslash$table$[[$Overtime$],[$labor cost$]],$$$36,$per hour$]]$

$\backslash$table$[[$Item$,$Data,Units$],[$Hiring cost$,$$$10,000,$per person$],[\backslash$table$[[$Laying off$],[$charge$]],$$$20,000,$per person$],[\backslash$table$[[$Number of$],[$workers$]],72,]]$

The sales forecast for next year is:

$\backslash$table$[[$Month$,$Forecast,$\backslash$table$[[$Working$],[$Days$]],$Month,Forecast,$\backslash$table$[[$Working$],[$Days$]]],[$Jan$,2000,20,$Jul,$4000,21],[$Feb$,1500,18,$Aug,$4500,23],[$Mar$,2000,22,$Sep,$4000,20],[$Apr$,2500,20,$Oct,$3000,24],[$May$,3000,22,$Nov,$2500,19],[$Jun$,3500,21,$Dec,$1500,15]]$

Other assumptions:

Inventory holding costs are not charged for safety stock.

Safety stock is never produced using overtime.

Even though the production time is $7\mathrm{.}5$ hours per day, workers are paid for $8$ hours per day

Worker hires or layoffs take effect on the first day of the plan month.

Backorders are carried over month$-$to$-$month

What is the total cost for this plan? $($HINT: Use a level strategy$)$

Instead of enduring the increased shortage costs, management decides to use OT to make up any shortfalls. What is the cost of this plan and how does it compare to part A$?($HINT: Use a hybrid strategy$)$

please do part $2$ of this question:$)$