A fabric mill has developed the following forec

$($In hundred bolts of cloth. The mill has a normal capacity of

$275$ units $($a unit equals one hundred bolts$)$ per month, and

employs $275$ workers. Regular labour cost is $$2,000$ per unit

and overtime labour cost is $$3,000$ per unit and the

subcontracting cost is $$4000$ per unit. Up to $2$ units per

month can be made during overtime. The beginning inventory

is zero. Hiring cost is $$1,500$ per worker. The inventory holding

cost is $$1,000$ per unit per month, and back$-$order cost is

$$5,000$ per unit per month. Please generate a level output plan

with an using the average demand as production rate. What is

the total cost of this plan?

Month $1234567$

Demand $250330250300280275275$