Reality Show 10Fight10 is trying to decide how many 10Fight10 boxing trunks to order for selling in the upcoming Season 2. During Season 2, each boxing trunk will be sold at the full price of $55. 10Fight10 believes that the demand at this price will be normally distributed with a mean of 200 and standard deviation of 40. If 10Fight10 orders 200 boxing trunks, the cost will be $28 per boxing trunk. Every increment of 50 boxing trunks reduces the unit cost by $1.25. For example, if the order quantity is between 250 and 299, each boxing trunk will cost $26.75. After the end of Season 2, the boxing trunks will be marked down to a discounted price of $20 per pair. Historically, demand for discounted price items has followed a normal distribution with a mean equal to half of the actual full-price demand and a standard deviation equal to 20% of the discounted price mean demand. For example, if the full-price demand turned out to be 200, the discounted price demand would be normally distributed with a mean of 0.5*200=100 and a standard deviation of 0.2*(100)=20. How many boxing trunks should Reality Show 10Fight10 order to maximize its expected profit? You can assume that any unsold boxing trunks at the marked-down price have no value.