Nathan$$s Widgets manufactures and distributes Fidget Cubes for $$15$ per cube to multiple retailers including Wamazmart. Their current forecast methodology has been Arithmetic Mean, but they have achieved poor accuracy, poor production plans, and high levels of stockouts and$/$or overstocks. They have contracted with your Consulting Firm to help them with the following questions:

A$)$ Should they move to a moving average with n$=4$ OR a weighted moving average with n$=3,$ a$1=0\mathrm{.}5,$ a$2=0\mathrm{.}3,$ a$3=0\mathrm{.}2$ OR stay with arithmetic mean?

B$)$ Based on your recommendation, what should they forecast for the year $2024?$

C$)$ Based on the forecast for $2024,$ should they use a chase or level production planning strategy for the assumptions shown in the tab labeled CUT & TRY?

D$)$ What should their EOQ be if the annualized demand is equal to the forecast in PART B$,$ and holding cost is $25\%$ of the cost of each fidget cube and the cost of transporting each order is $$500?$