Ram$$ Roy's firm has developed the following$$ supply, demand,$$ cost$,$ and inventory data.

Supply Available,,,,

Period,Regular Time,Overtime,Subcontract,Demand Forecast

$1,30,15,15,40$

$2,35,15,15,55$

$3,40,15,15,55$

Initial inventory $20$ units

$$Regular$-$time cost per unit

$$$$100$

Overtime cost per unit

$$$$150$

Subcontract cost per unit

$$$$200$

Carrying cost per unit per month

$$$$6$

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$$ method, the total cost is $$$

$$

enter your response here $($enter your response as a whole$$ number$)$