Amelie, the owner of La Petite Croissanterie, is trying to determine how many croissants to bake everyday. Based on her observations the demand for croissants follow a normal distribution with mean 14 and standard deviation of 2. It costs $9 to bake a tray of 5 croissants, and each croissant is sold for $4. Any leftover croissants are sold for a discount price of $1 in the evenings. If the croissants are sold out, there will be a loss of goodwill that is worth 50 cents on top of the lost opportunity to make a profit from the sale. Determine the optimal number of trays to bake everyday to maximise the profits. Hint: Amelie can bake at most 10 trays a day