In a P system, the lead time for a box of weed-killer is two weeks and the review period is one week. Demand during the protection interval averages 265 boxes, with a standard deviation of demand during the protection interval of 50 boxes. a. What is the cycle-service level when the target inventory is set at 300 boxes? Refer to the standard normal table as needed. The cycle-service level is %. (Enter your response rounded to two decimal places.) Let P be the fixed time between orders, L be the constant lead time. The target inventory level T must equal the expected demand during the protection interval of P + L periods, plus enough safety stock to protect against demand uncertainty over this same protection interval: T=d(P + L) + Safety stock, where d(P + L) is the demand during the protection interval. Find the safety stock. Safety stock = T-d(P + L) = 300 - 250 = 50 boxes (Enter your response as a whole number.) Let P be the fixed time between orders, L be the constant lead time. The target inventory level T must equal the expected demand during the protection interval of P + L periods, plus enough safety stock to protect against demand uncertainty over this same protection interval: T=d(P + L) + Safety stock, where d(P + L) is the demand during the protection interval. Find the safety stock. Safety stock = T-d(P + L) = 300 - 250 = 50 boxes (Enter your response as a whole number.) The cycle-service level is the probability of not running out of stock in any one ordering cycle. Determine the corresponding cycle-service level from the standard normal table. The cycle-service level is %. (Enter your response rounded to two decimal places.) b. In the fall season, demand for weed-killer decreases but also becomes more highly variable. Assume that during the fall season, demand during the protection interval is expected to decrease to 200 boxes, but with a standard deviation of demand during the protection interval of 60 boxes. What would be the cycle-service level if management keeps the target inventory level set at 300 boxes? Similarly to part a, first determine the safety stock given the new demand during the protection interval. Safety stock = T-d(P + L) = 300 - 200 = (Enter your response as a whole number.)