Lemington's is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 600 and standard deviation 150, The contrect between Jean Hudson and tenitigton's works as follows. At the begining of the season, Lemington's reserves x units of capacoty. Lemungton's must take delivery for at least 0,8x dresses and can, di desired, take defivery on up to x dresses. Fach dress sells for $160 and Hudson char pes $50 per dress. If Lemingtoris does not take defivery on all x dresses, it owes Hudvan a $5 penalty for each unt of reserved capacity that is unused. For example, if temingcon's orders 450 dresves and demand is for 400 diesses, Lenington's will receive 400 dresses and owe Jean 400(550) + So(s5). How inany units of capacctr should Lemington's reserve to maximite its expected profic? Try units of capacity from 400 to 900 , whth incremente of 50 unirs, Round your answer to the nearest whole number, if necessary. Optimal units of capacity: Please provide steps and answers