For all calculations in this problem, round inventory quantities to the nearest whole number and costs to the nearest dollar. An auto parts supplier sells batteries to car dealers and auto mechanics. The annual demand is approximately 1,200 batteries. The supplier pays $28 for each battery and estimates that the annual holding cost is 30 percent of the battery's value. It costs approximately $20 to place an order (managerial and clerical costs). The supplier currently orders 100 batteries per month. a) Determine the annual ordering, holding, and total inventory costs for the current order quantity (don't forget to include yearly cost of batteries). b) Determine the economic order quantity c) On average, how many orders will be placed per year using the EOQ (do not round)? d) Determine the ordering, holding, and total inventory costs for the EOQ. How much annual savings will the supplier realize if they change their current policy to order at the EOQ? Upon closer inspection, the supplier determines that the demand for batteries is normally distributed with a mean 4 batteries per working day and standard deviation 3 batteries per working day. (The supplier is open 300 days per year.) It takes 4 days to receive an order from the factory. e) What is the standard deviation of demand/usage during the lead time? f) Determine the reorder point needed to achieve a service level of 95%. g) How much safety stock is required to achieve this service level of 95%? h) What is the annual holding cost of the safety stock