A firm sells a product with an annual demand of A=6000. The holding cost is CH=$2 per unit per year and the ordering cost is CP=$50 per order. The shortage cost is Cs=$10 per unit. Demand exhibits some variability and management has estimated that lead-time demand follows a normal distribution with a mean of 300 and standard deviation of 40. a. What is the reorder point if management wants a 50% probability of satisfying demand in any given cycle? b. If the criteria for reordering is changed to: Allow, on average, 1 cycle with a stockout per 5 cycles, what is the reorder point? c. What is the economic order quantity? d. Suppose the order quantity is set to Q=500 units, what is the reorder point if management wants 97.8% service level (fill rate)? e. Suppose management sets the reorder point to R=304 units (and Q=500 units), what is the resulting service level (fill rate)? Answer all questions above please