18. SuperCity is a large retailer of electronics and appliances. The store sells three different models of TVs that are ordered from different manufacturers. The demands, costs, and storage requirements for each model are summarized in the following table:

Model 1 Model 2 Model 3 Annual Demand 800 500 1,500 Unit Cost $300 $1,100 $600 Storage space reqd 9 sq ft 25 sq ft 16 sq ft

It costs $60 to do the administrative work associated with preparing, processing, and receiving orders, and SuperCity assumes a 25% annual carrying cost for all items it holds in inventory. There are 3,000 square feet of total warehouse space

available for storing these items, and the store never wants to have more than $45,000 invested in inventory for these items. The manager of this store wants to determine the optimal order quantity for each model of TV.

What is the value of the objective function (cost) at the optimal solution? Do not include the cost of purchasing the items in the total cost function (just include ordering and holding costs).