The bookstore at University of Dar Es Salaam Business School purchases from a vendor sweatshirts emblazoned with the school name and logo. The vendor sells the sweatshirts to the store for a $38 a...

The bookstore at University of Dar Es Salaam Business School purchases from a vendor sweatshirts emblazoned with the school name and logo. The vendor sells the sweatshirts to the store for a $38 a piece. 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 1700 sweatshirts will be sold during the year. The vendor has offered discount to the bookstore based on the quantities of sweatshirts they purchase. The discounts given to the order categories sizes of 1-299, 300-499, 500-799 and 800+ are 0%, 2%, 4% and 5% respectively. The bookstore manager wants to determine the bookstore's optimal order quantity, given the foregoing quantity discount information.

calculate figures for 300, 500, and 800 units:

(i) Number of orders
(2 points)

(ii) Order costs
(2 points)

(iii) Which amount of units gives the lowest total inventory costs? (Provide calculations)