Msci 432/633: production and service operations management, winter 2010. Msci 432. 001/633: assignment # 3; msci 432. 002: assignment # 2. Discounting schemes: find the optimal ordering quantities for each of the items and the corresponding annual total cost. Simply find teoq=eoq/ and if teoq>sl then qsl=sl* . Uncertain demand: assume that the firm has centralized all inventories in a single warehouse and that the probability of stocking out in a cycle can still be no more than 5%. Solution: (since pipeline inventory is not influenced, we do not include it in the calculations below. ) (a) To determine the optimal order quantity, we will use the eoq formula. H = * 25%/yr = . 5/yr, d = 10,000 /wk, (i. e. , annual demand, d = 500,000/yr), and s = Average inventory at each warehouse (i) = q/2 + ss = (20,000/2) + 3,300 = 13,300 units. Average inventory holding cost per warehouse = h*i = . 5*13,300 = ,250.