Develop a aggregate production plan for the given data
Input data
Initial inventory of valves	150
Initial number of workers	50
Regular hours/worker/month	160
Maximum overtime hours/worker/month	25
Labor hours/unit	2.5

Cost data
Regular wages/worker/month	2400
Overtime time premium wage	1.5
Hiring cost/worker	2500
Firing cost/worker	3000
Holding cost/unit in inventory/month	3
Raw material cost/unit	25

Workers hiring/firing
	Month 1	Month 2
Workers from previous month
Workers hired
Workers fired
Workers available after hiring and firing
Overtime labor hours scheduled
Maximum overtime labor hours used

Production plan	Month 1	Month 2	Month 3
Valves produced
Total labor hours needed for production
Total hours available for production
Inventory after production
Forecasted demand	2500	3500	5000
Ending inventory

Monetary outputs	Total cost
Hiring cost
Firing cost
Regular-time wages
Overtime wages
Raw material cost
Holding cost
Total cost