A small company produces whisky. The sales person has developed the following aggregate forecasts for demand (in cases) for the next six months.

Month	May	Jun	Jul	Aug	Sep	Oct
Forecast	4,000	4,800	5,600	7,200	6,400	5,000

Use the following information:

Regular labour cost $20 per case

Regular labour capacity 5,000 cases per month using 50 workers

Overtime labour cost $30 per case

Part time labour cast $40 per case

Holding cost $2 per cases per month

Backorder cost $10 per case per month

Beginning inventory 0

Develop the minimum cost aggregate production plan using a level output/workfore plan, supplemented with each of the following variables, and compute the total cost for each plan. Which plan has the lower total cost?

a) Use overtime (up to 1,000 cases per month)

b) Use a combination of overtime (500 cases per month maximum) and part-time labour(500 cases per month maximum).