Problem $13$

Use a Level strategy and develop an aggregate plan using inventories and backorders. Test and evaluate the plan. The data is tabulated below. If the number of employees required is fractional, always round up $($ceiling$).$ Suppose the number of units produced per employee per period is fractional, always round down. Answer the following questions.

a$.$ total cost incurred. b$.$ cost per unit

c$.$ number of workers hired.

d$.$ number of workers fired e$.,$ inventory units f$.,$ backorder units.

Cost data in $\backslash$$

Regular time labor cost per hour

Overtime labor cost per hour

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

Backorder cost per unit per period

Inventory holding cost per unit per period

hiring cost per employee

Firing cost per employee

Capacity Data

Beginning workforce $($employees$)100$

Beginning inventory $($units$)20$

Production standard per unit $($hours$)7$

Regular time available per period $($hours$)161$

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

Demand data $($units$)$

Period $12050$

Period $22150$

Period $31600$

Period $42310$

Period $51700$

Period $61990$

Period $72900$

Period $81860$