The Carbondale Hospital is considering the purchase of a new ambulance. The decision will rest partly on the anticipated mileage to be driven next year. The miles driven during the past $5$ years are as follows:

$\backslash$table$[[$Year$,1,2,3,4,5],[$Mileage$,3,050,4,050,3,400,3,800,3,800]]$

a$)$ Using a $2-$year moving average, the forecast for year $6=3800$ miles $($round your response to the nearest whole number$).$

b$)$ If a $2-$year moving average is used to make the forecast, the MAD based on this $=141\mathrm{.}7$ miles $($round your response to one decimal place$).($Hint: You will have only $3$ years of matched data.$)$

c$)$ The forecast for year $6$ using a weighted $2-$year moving average with weights of $0\mathrm{.}35$ and $0\mathrm{.}65($the weight of $0\mathrm{.}65$ is for the most recent period$)=3800$ miles $($round your response to the nearest whole number$).$

The MAD for the forecast developed using a weighted $2-$year moving average with weights of $0\mathrm{.}35$ and $0\mathrm{.}65=$ miles $($round your response to one decimal place$).($Hint: You will have only $3$ years of matched data.$)$