In August 2004, a car dealer is trying to determine how many 2005 cars should be ordered. Each car ordered in August 2004 costs $10,000. The demand for the dealer’s 2005 models has the probability...

In August 2004, a car dealer is trying to determine how many 2005 cars should be ordered. Each car ordered in August 2004 costs $10,000. The demand for the dealer’s 2005 models has the probability distribution shown in Table.

Each car sells for $15,000. If demand for 2005 cars exceeds the number of cars ordered in August, the dealer must reorder at a cost of $12,000 per car. Excess cars may be disposed of at $9,000 per car. Use simulation to determine how many cars should be ordered in August. For your optimal order quantity, find a 95% confidence interval for expected profit.