Dairy of the Millennium is a large wholesaler of ice cream. Its most popular product is the ice cream flavor, Mint Chocolate Chip, which is shipped from Northern Spain. Weekly demand is 40 cases. Dairy of the Millennium purchases each case for $105, there is a $350 fixed cost for each order (independent of the quantity ordered), and its annual holding cost is 15 percent.

a. What order quantity minimizes millennial's ordering and holding costs?

b. If millennial choses to order 325 cases each time, what is the sum of its annual ordering and holding costs?

c. If millennial choses to order 100 cases each time, what is the sum of its annual ordering and holding costs incurred by each case sold ?

d. If millennial is restricted to ordering in multiples of 50 cases (e.g 50,100,150 etc), how many case should it order to minimize its annual ordering and holding costs?

e. Millenial is offered 5% discount if it purchases at least 1000 cases. If it decides to take advantage of this discount, what is the sum of its annual ordering and holding costs?