Demand for vanilla ice coram at a small ice cieam shop can be approximated by a Normal distribution with a mean of 25 iltres per week and o standard deviation of 4.0 lites per week. The ice cleam is purchascd from an ice cream producet. The sfore manoger desires a cad time service level of 90 percent. Lead time from the producer is two days. The store is open seven days a week Refect zavalue table. a. Ht the EOQROP model is used for ordering the ice cream from the produces, what ROP would be conslstent with the desired lead tine service level? (Round the final answer to 2 decimal pinces) ROP litres: b. If a foedinterval modet is used instead, What order quartity should be used if the order interval is 7 days and 7 itres are on hand and none are on order at the fine of order? (Do not round the intermediate coleulations. Round the final answer to the nearest whole number) Quantity lites e. Suppose that the rananer is oehg the EOQROP model described in part a One day after placlog an order with the producer, the manager recelves a call from the producer saying that the order will be delayed because of problems at the producer's plint The producet promises lo have the order there in fwo days. Atter hanging up, the manager checks the irventory of vanilla ice cream ind finds that 1 ities have been sold since the onder was ploced. Assuming that the producer's promise is valid, what is the probability that the stoce will run out of vanilla ice cream before the shipment artives? (Round your intermediate calculations to 2 decimal places and the finsl answer to 4 decimal plinces.) Probability