In August 2009, a car dealer is trying to determine how many 2010 cars to order. Each car ordered in August 2009 costs $16,000. The demand for the dealer's 2010 models has the probability distribution shown in the table below. Each car sells for $21,000. If the demand for 2010 cars exceeds the number of cars ordered in August 2009, the dealer must reorder at a cost of $18,000 per car. Excess cars can be disposed of at $13,000 per car. Use simulation (at least with 1000 replication) to determine how many cars the dealer should order in August 2009 to maximize his expected profit. Plot a graph to prove your answer. For the optimal order quantity, find a 95% confidence interval for the expected profit