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

$$

Supply Available

Period

Regular Time

Overtime

Subcontract

Demand Forecast

$1$

$30$

$15$

$10$

$40$

$2$

$35$

$15$

$10$

$50$

$3$

$40$

$15$

$10$

$55$

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

$$$$2$

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$).$