Jerusalem Medical$$ Ltd$.,$ an Israeli producer of portable kidney dialysis units and other medical$$ products, develops a$4-$month aggregate plan. Demand and capacity$($in units$)$ are forecast as$$ follows:

$$

Capacity Source

Month $1$

Month $2$

Month $3$

Month $4$

Labor

$$Regular time

$225$

$275$

$280$

$300$

$$Overtime

$15$

$24$

$26$

$24$

Subcontract

$14$

$15$

$15$

$15$

Demand

$240$

$314$

$311$

$301$

The cost of producing each dialysis unit is $$$$875$ on regular$$ time, $$$$1,310$ on$$ overtime, and $$$$1,600$ on a subcontract. Inventory carrying cost is $$$$100$ per unit per month. There is to be no beginning or ending inventory in stock and backorders are not permitted.

Part $2$

Minimizing cost using the transportation$$ method, the optimal cost is $$$enter your response here $($enter your response as a whole$$ number$).$