3) Weiss's paint store uses a min, max(s,S) inventory system to control its stock levels. For a particularly popular white latex paint, historical data show that the distribution of monthly demand is approximately normal, with mean 28 and standard deviation 8 . Replenishment lead time for this paint is about 14 weeks. Each can of paint costs the store $6. The store owner estimates that each unfilled demand cost about \$10 each in bookkeeping and loss of goodwill costs, assume demands are backordered. Fixed costs of replenishment are $15 per order, and holding costs are based on a 30% annual rate. a) What are the optimal min max levels for this brand of paint? b) After taking an inventory management seminar, the owner of the paint store decides that his shortage cost of $10 may not be very accurate and he really wanted to satisfy 90% of his demand from on hand inventory. Find the resulting min, and Max values. c) What is the implied shortage cost for the policy determined in b) Compare the total costs of policy in a) and b)