Aggregate demand for a product family is given in the table below for the four quarters of 2008. The inventory cost is $2 per unit per
quarter. Demand that cannot be met is a lost sale. The cost of a lost sale is $40 per unit.
Quarter
Demand
Production
Inventory
Lost Sale
1000
Q1 08
5000
9000
?
?
Q2 08
8000
9000
?
?
Q3 08
7000
9000
?
?
Q4 08
8000
7000
?
?
Taking production and initial inventory into account determine the ending inventory and lost sales for each of the four quarters and then
compute thetotal cost of carrying inventory and lost sales for 2008 (i.e. do not include the cost of carrying
the initial inventory).