The popular local restaurant recently signed with UberEats delivery service to expand their operation beyond physical capacity of the restaurant. The UberEats service orders are steadily growing. The owner of the restaurant asked you to help her to forecast the UberEats service demand to insure she has enough staff and ingredients to fulfill the orders. The restaurant is open 6 pm - 10 pm. The owner estimated that there are two periods for online orders demand: the high demand between 6 pm and 8 pm and low demand between 8 pm and 10 pm. You decided to use Winter's method with = 0.1 and = = 0.2. The owner gave you the records for the last two days:

Monday	Tuesday
6:00-8:00 pm	8:00-10:00 pm	6:00-8:00 pm	8:00-10:00 pm
41	20	44	19

(a) (10 pts.) Initialize Winter's method and forecast the demand for the next day. (b) (5 pts.) The next day, the owner called you at 8:00 pm and informed that the number of online orders for 6:00-8:00 window was 47. She asked you to adjust your forecast for the remaining part of the day. (c) (5 pts.) If the actual number of online orders for 8-10 pm window turned out to be 17, what is the mean squared error (MSE) of your one-step forecasting method?