3. (20 marks) Dönerci Ali puts up a roll of döner every morning to be ready by noontime. When a döner roll is consumed Ali puts up another roll. Each roll can be sliced into 250 portions for a sandwich that is sold for 7.5 lira. A cooked döner roll cannot be left over for the next day and whatever meat remains is given to street cats every night. The number of döner sandwiches sold daily is uniformly distributed in the interval [180-620]. How many döner rolls should Alii ask the butcher next door to prepare for him every day? The butcher sells a roll for 500 lira. a) (10 marks) Define the appropriate inventory model b) (10 marks) Find the number of daily roll orders for the butcher. Show your calculations.