Ram$$ Roy's firm has developed the following$$ supply, demand,$$ cost$,$ and inventory data. Supply$\_$Available$****$

Period$$Regular$\_$Time$$Overtime$$Subcontract$$Demand$\_$Forecast

$130151050$

$230151050$

$34020106030$ Initial inventory

units $30$

$$Regular$-$time cost per unit

$$$$100$

Overtime cost per unit

$$$$150$

Subcontract cost per unit

$$$$200$

Carrying cost per unit per month

$$$$4$

Assume that the initial inventory has no holding cost in the first period and backorders are not permitted.

Part $2$

Allocating production capacity to meet demand at a minimum cost using the transportation$$ method, the total cost is $\_\_\_\_\_\_\_\_\_\_$