please answer each part by HAND on a piece of paper, please explain in DETAIL how to solve each part

Jilly Julian had a lot on her mind when she left the conference room at ABC. Her divisional manager had informed her that she would be assigned to a team consisting of SPS's marketing vice president and several staff members from their key customers. The goal of this team was to improve supply chain performance, as ABC had been unable to meet all the demand of their customers over the past several years. This often left ABC's customers scrambling to meet new client demands. Jilly had little contact with ABC's customers and wondered how she would add value to this process. She was told by her division manager that the team's first task was to establish a collaborative forecast using data from both ABC and their customers. This forecast would serve as the basis for improving their performance as they could use this more accurate forecast for their production planning. With this in place, ABC would have a key tool to improve delivery performance. ABC ABC turns polystyrene resin into recyclable disposable containers for the food industry. Polystyrene is purchased as a commodity in the form of resin pellets. The resin is unloaded from bulk rail containers or overland trailers into storage silos. Making the food containers is a two - step process. First, resin is conveyed to an extruder, which converts it into polystyrene sheet wound into rolls. The plastic comes in two forms-clear and black. The rolls are either used immediately to make containers or are put into storage. Second, the rolls are loaded onto thermoforming presses, which from the sheet into containers and trim the containers from the sheet. The two manufacturing steps are shown in the below figure. Resin Storage Extruder Roll Storage Thermo-forming Press Over the past five years, the plastic packaging business has grown steadily. Demand for containers made from clear plastic comes from grocery stores, bakeries, and restaurants. Demand for black plastic trays comes from caterers and grocery stores who use them as packaging and serving trays. Demand for clear plastic containers peaks in the summer months, whereas demand for black plastic containers peaks in the fall. Capacity on the extruders is not sufficient to cover demand for sheets during the peak seasons. As a result, the plant is forced to build inventory of each type of sheet in anticipation of future demand. Table (b) and Figure(c) display historical quarterly demand for each of the two types (clear and black) of containers. This demand data was modified from ABC's sales data by the team to take into account the lost sales when ABC was out of stock. Without the customers involved in this team, ABC would never have known this information as they did not keep track of lost orders. Questions As a first step in the team's decision making, they want to forecast quarterly demand for each of the two types of containers for the years 6 to 8. Based on historical trends, demand is expected to continue to grow until year 8, after which it is expected to plateau. Jilly must select the appropriate forecasting method and estimate the likely forecast error. A) Which forecast error measure do you recommend for this problem? Why? B) Use the static method to forecast demand for years 6 to 8. C) Use an adaptive method to forecast the demand. What are the optimal values of the smoothing constants? D) Which of the two methods do you recommend? why? E) Plot the tracking signal for the recommended method and comment on what you see on the plot. year Quarter 1 2 3 I II III IV I II III IV I II III IV I II III IV I II III IV Black Plastic Demand(1000lb) 1625 1368.5 1706 4134.5 2257 1571.5 2229.5 4028 2560 1883 1778 4626.5 3245.5 2691 2657.5 6517.5 3324 2348 2921.5 7048.5 Clear Plastic Demand(1000lb) 2100 4329 2710 1692 2327 4840 3347.5 1476.5 2871 7336.5 3820 1868.5 2243 7093 3224 2242.5 4364 8795.5 4618 2158 4 5 10000 9000 8000 7000 6000 5000 4000 sasalalle 3000 2000 1000 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Black Plastic -Clear Plastic