The fish processing facility takes raw fish as input and transforms it into the final product. Upon arrival raw fish is stored in the freezer with capacity R tons. Fish is a highly perishable food which needs proper preservation, and the storage cost is HKD 1,000 per month per ton. Raw fish that arrive when the freezer is full are lost; that is, they never get into the freezer.

Raw Fish ---> Freezer (Max storage= R tons) ----> Fish processing Facility (Capacity=3000 tons/month)----->Processed Fish

The raw fish is seasonal, that is, the arrival rate of raw fish depends on the time of year, which is given as follows:

Raw Fish input rate (Tons/month):0-4 (3600tons/month), 4-8 (4800tons/month), 8-12(600 tons/month).

Assume that the storage capacity of the freezer is infinite, i.e., R=. Draw inventory buildup diagram for the freezer. What is the annual storage cost?