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

$$

Supply Available

Period Regular Time Overtime Subcontract Demand Forecast

$14015540$

$23015560$

$33020550$

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$).$