Using a computerized Inventory Management System, a Paint Supply Store franchise continuously monitors the inventory of all the paint located at each of their 15 stores and their distribution warehouse. The Paint Supply Store franchise sells an average of 32 gallons of Red Paint every week (for 52 weeks per year). They purchase Red Paint from their supplier at a price of $2.00 per gallon. The company does not hold Safety Stock) It takes 1.25 weeks to receive an order from the supplier Administrative costs for Ordering paint have been estimated to be $15 per order. Holding Costs = 20% of the purchase price per gallon per year. What is the most Economic Order Quantity? 3.090 Reorder Point, ROP = dL + SS Service Level z Value 99.99% 3.719 d = Average Demand Rate per Time Period 99.90% D = Demand Rate per Year 99.00% 2.326 L = Average Lead time (time periods) 95.00% 1.645 90.00% 1.282 SS = Safety Stock = z Odl 85.00% 1.036 80.00% 0.842 Cal = 10 (Assuming Lead Time is constant as in Periodic review) 0,= Standard Deviation of the demand z = Number of Standard deviations corresponding to a service level z = Number of Standard deviations corresponding to a service level Q = Order Quantity Average Inventory Level = Q/2 + SS H = Holding Cost Per Year Per Unit S = Ordering/Setup Cost Per Order s + H(SS) Total Annual Inventory Cost = (9)h + Economic Order Quantity, EoQ = 2 Orders = TBO = EO Time Between H A. 49 gallons of paint B. 353 gallons of paint C. 129 gallons of paint D. 500 gallons of paint E. 559 gallons of paint