Aggregate demand for a product family is given in the table below for the upco

Aggregate demand for a product family is given in the table below for the upcoming 4 months. Workers are paid $2600 per month and can be
hired or fired at the beginning of a month: Hiring costs are $160 per worker hired and firing costs are $120 per worker fired. Each worker produces 50 units
per month. The inventory cost is $1 per unit per month. When necessary an unlimited number of units can be subcontracted at a cost of $35 per unit.

Month

Demand

Number workers

Number Hired

Number fired

Units produced

Subcontract

Inventory

0

5

700

1

900

14

?

?

?

?

?

2

400

14

?

?

?

?

?

3

400

13

?

?

?

?

?

4

900

13

?

?

?

?

?

The table above specifies the planned number of workers in each month. The number of workers and the ending inventory in the previous month
are also given. Compute the total annual cost of meeting demand for the upcoming four months.