PLEASE SHOW ALL WORKINGS AND PROVIDE A STEP BY STEP SOLUTION

Use a Level strategy and develop an aggregate plan using inventories and no backorders. Test and evaluate the plan. The data is tabulated below. If the number of employees required is fractional, always round up $($ceiling$).$ Answer the following questions

a$.$ total cost incurred

b$.$ cost per unit

c$.$ number of workers hired

d$.$ number of workers fired

Cost data in $

Regular time labor cost per hour $15$

Overtime labor cost per hour $20$

Subcontracting cost per unit $($labor only$)120$

Backorder cost per unit per period $22$

Inventory holding cost per unit per period $10$

Hiring cost per employee $800$

Firing cost per employee $500$

Capacity Data

Beginning workforce $($employees$)95$

Beginning inventory $($units$)10$

Production standard per unit $($hours$)8$

Regular time available per period $($hours$)160$

Overtime available per period $($hours$)40$

Demand data $($units$)$

Period $11800$

Period $21960$

Period $31910$

Period $42090$

Period $51800$

Period $62410$

Period $72870$

Period $82860$

Period $92200$

Total Number of periods $9$