A company wants to develop aggregate production plan for a 4 month planning horizon. The demand and working days are given below:

Month	Demand	Days
January	1000	22
February	800	24
March	2200	25
April	2500	19

The company was producing 100 units daily in December last years. There are 200 units in the warehouse at the beginning of January, this year. The company is running 8 hours a day. Production of one unit require 2 hours and the production requires workers.

The company has estimated the following costs:

Carrying cost	3	$/month
Regular labor cost	22	$/hour
Overtime labor cost	33	$/hour
Hiring cost	250	$/unit increase in daily production rate
Layoff cost	400	$/unit decrease in daily production rate

Develop a production plan with constant workforce. Write down the total cost of your plan.