Supply chain management question !

Need entire detailed solution with all steps

Consider a music store that sells compact discs. The supplier manufactures compact discs at $1 per unit and sells them to the music store at $5 per unit. The retailer sells each disc to the end consumer at $10. At this retail price, market demand is normally distributed, with a mean of 1,000 and a standard deviation of 300 . Any leftover discs at the end of the sale period are worth-less. (a) How many discs should an independent retailer order? (b) What are the expected supply chain profits with an independent retailer