Lemington's is trying to determine how many lean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normai distibution with mean 600 and standird deviation 150, The contract between Jean Hudson and Lemington's works as follows, Ar the beginning of the season, Lemington's reserwes x units of capacicy. Lemington's must take delivery for at least 0 . fx dresses and can, if desired, take delivery on up to x dresees, Each dress sells for $160 and Hudson chargen $50 pe dress. If Lemington's does not take delivery on all x dresses, if owes. Hudson a $5 penaity for each una of reserved capacity thot is unused for axample, if Lemington's orders 450 dresses and demand is for 400 dresses, Lemington's will recewe 400 dresses and owe Jean 400(550)+50($5). How many units of capacty should temungton's reserve to maximize its expected profit? Try units of capacity from 400 to 900 , with increments of 50 units, Round your answer to the nearest whole number, if necessary. Optimal units of capacity