Mark uses several bags of rice for his restaurant year. The monthly demand for rice is normally distributed with an average of 10 bags and a standard deviation of 2 bags. It costs Mark $24 to place an order for a shipment of rice, and he spends an average of $10 each year to store a bag of rice. Suppose the lead time to receive a shipment of rice is 1 week. Assume there are 4 weeks in a month. (a) How many bags of rice should Mark order every time he places an order for more rice? (2 marks) (b) If Mark wants to provide a 95% service level, then what should be his reorder point? ( 2 marks) (c) Suppose Mark chooses not to provide a 95% service level, but rather he reorders when he has 3 bags left. What is the probability that he runs out of rice while the new shipment of rice is being delivered