Dumoor Appliance Center sells and services several brands of major appliances. Past sales for a

particular model of refrigerator have resulted in the following probability distribution for

demand:

The lead time, in weeks, is described by the following distribution:

Based on the cost considerations as well as storage space, the company has decided to order $6$

of these each time an order is placed. The holding cost is $$2$ per week for each unit that is left in

inventory at the end of the week. The stockout cost has been set at $$30$ per stockout. The

company has decided to place an order whenever there are only $2$ refrigerators left at the end

of the week. Simulate $10$ weeks of operation for Dumoor Appliance assuming there are

currently $5$ units in inventory. Determine what the weekly stockout cost and weekly holding

cost would be for the problem. $(10$ points$)$