Given the following information, formulate the aggregate production planning problem as a transportation table and solve it: (Do not leave any empty spaces; input a 0 wherever it is required.)

	Month
	1	2	3
Demand forecast	550	700	750
Capacity (maximum)
Regular	500	500	500
Overtime	50	50	50
Part time	120	120	100
Beginning inventory	100

Costs
Regular time	$	60 per unit
Overtime	$	80 per unit
Part time	$	90 per unit
Inventory holding cost	$	2 per unit per month
Backorder cost	$	3 per unit per month

	Demand for	Period 1	Period 2	Period 3	Unused	Total
	Beginning Inventory
1.
	Regular Time
	Over time
	Part-time
2.	Regular Time
	Over time
	Part-time
3.	Regular Time
	Over time
	Part-time
	Total