Please solve part b. and show steps

Question 2) (30 points] The bookstore at State University purchases from a vendor sweatshirts emblazoned with the school name and logo. The vendor sells the sweatshirts to the store for $38 apiece. The cost to the bookstore for placing an order is $120, and the carrying cost is 25% of the average annual inventory value. The bookstore manager estimates that 1,700 sweatshirts will be sold during the year. The vendor has offered the bookstore the following volume discount schedule: Order Size Discount (%) 1-299 0 300499 2 500-799 4 800+800+ 5 a) Determine the bookstores optimal order quantity, given the foregoing quantity discount information. b) Determine the optimal order quantity of sweatshirts and total annual cost if the carrying cost is a constant $8 per sweatshirt per year