Please do part a and b.

3. Deterministic Inventory System (20+10 Points) Sam's Club at North Mall Drive, Baton Rouge, stores numerous items, one of which is chocolates. Assume that itt operates with the vendors under instantaneous replenishment policy. The store experiences that the annual demand for one of the variant of a specific chocolate brand is 960 boxes, each of which containing 40 chocolate bars. The ordering cost for this item is $7/order and the purchase price for each box is $14. The nominal (annual) interest rate assessed to the investment for this purpose is 12%. The store does not want to lose any customer, (a) What should be the order size of boxes to run the store at minimal cost and how frequently should the store manager order? Also find out the optimal holding cost and average annual cost of chocolates. - (b) The distributor does not sell by boxes, but by a carton of 8 boxes. How many cartons should Sam's Club order to minimize its average total annual cost of ordering and holding inventory