Your boss needs your help in figuring out the constraints so that she can complete an aggregate plan using linear programming. She sells the product for $50 per unit. She wants to minimize costs. She is forecasting demand for next year as:

Jan	1500
Feb	1700
Mar	1900
Apr	2100
May	2300
Jun	2500
Jul	2700
Aug	3100
Sep	2600
Oct	2300
Nov	1900
Dec	1700

Her costs are:

Materials (per unit)	$28
Inventory holding (per unit per month)	$6
The marginal cost of stockout (per unit per month)	$5
Hiring & training (per worker)	$150
Layoff (per worker)	$300
Regular time (per hour)	$15
Overtime (per hour)	$22
Subcontracting (per unit)	$30

Your boss knows this information about labor:

Beginning workforce	65
Working days in a month	20
Worker productive time (hours per day)	7
Maximum over time (hours)	15
Labor hours required (per unit)	4

Finally, here is what your boss wants for inventory management:

Beginning	1500
Ending	500
Stockout at the end of June	0

What is the worker pay per month (per worker)? And what does each worker produce per month?