An aggregate plan will be prepared that can use part time worker $($$$11$ per unit$)$ or use overtime $($$$15$ per unit$)$ or subcontract $($$$12/$unit$)$ or any combination of these. The primary objective in this problem is to minimize production costs without having any inventory remaining at the end of Period $9.$ The ending inventory in period $9$ should be zero. Note that Total output $=$ Total regular output $+$ Part Time quantity $+$ Overtime quantity $+$ Subcontract quantity.$$

In order to minimize production costs, rank in order, the production resources you would use if you were planning this model. Assume your full$-$time workers will be first.