Use the given information and the provided table below to develop an aggregate plan that results in the minimum total cost.

Note:

There is no hiring$/$firing$,$ in this problem

No on$-$hand inventory or backorders at the end of period $5$

$\backslash$table$[[$Period:$,$Forecast:$],[1,220],[2,180],[3,345],[4,400],[5,205]]$

Regular time: $$30$ per unit $(230$ units per period maximum$)$

Overtime: $$45$ per unit $(40$ units per period maximum$)$

Subcontracting: Not avaliable

Temp Workers: $$50$ per unit $(40$ units per month maximum$)$

Beginning Int: $45$

Holding Cost: $$2$ per unit per period

Backorder Cost: $$5$ per unit per period

a$.$ Determine regular production in period $4.$

b$.$ Determine overtime production in period $4.$

c$.$ Determine temporary production in period $4.$

d$.$ Calculate output$-$demand in period $4.$

e$.$ Determine beginning inventory in period $4.$

f$.$ Determine ending inventory in period $4.$

g$.$ Calculate average inventory in period $4.$

h$.$ Determine backorder in period $4.$