Problem 1. (Resource Planning-AggPlan. Total 15 pts,) Given the next 6 months aggregated demand forecast and other related information from the following 4 tables.

Table 1. next 6 months aggregated demand forecast

Table 2. Types of available productions and costs to produce each product

Table 3. The inventory cost for one product per month, and the Backlog cost for each product that needs to be backlogged.

Table 4. Inventory of products that is available at the beginning of January.

Table 1. Demand forecast			Table 2. Types of available production and Other Related Information
Month	Project Demand (unit)		Available Production	Regular	Overtime	Subcontract
Jan	250		Monthly Capacity (in units)	200	40	150
Feb	200		Operation Cost (per unit)	$100	$130	$140
Mar	200
Apr	650		Table 3. Inventory and Backlog Costs
May	550			Inventory	Backorder
Jun	100		Cost (per Month)	$10	$15
Total
			Table 4. Inventory Relatd Information (in unit)
			Given Beginning	50
			Required End of June	100

To do the followings

a) i) develop a Feasible Aggregate Plan for the coming six-month demand forecasted. A Feasible Aggregate Plan is a plan that meets the end-of-June inventory requirement. ii) For the aggregate plan you have developed in a-i), calculate the 6-month costs of Regular production; Overtime production; subcontract; plus costs that occurred due to Inventory and Backlog, Finally. the Total 6-month costs of your Aggregate Plan.

b) Discuss whether or not the plan you developed in a) is the Best. Explain why? If it is not the Best, use a systematic approach to revise your plan so that the total costs are Minimized, or at least better. Please explain why your revised plan will be better. Varify your result by recalculate the total costs.