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$,3,100,4,000,3,450,3,850,3,700]]$

a$)$ Using a $2-$year moving average, the forecast for year $6=3775$ 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 $=91\mathrm{.}7$ 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 $0\mathrm{.}40$ and $0\mathrm{.}60($the weight of $0\mathrm{.}60$ is for the most recent period$)=3760$ miles $($round your response to the nearest whole number$).$

The MAD for the forecast developed using a weighted $2-y$ ear moving average with weights of $0\mathrm{.}40$ and $0\mathrm{.}60=$ miles $($round your response to one decimal place$).($Hint: You will have only $3$ years of matched data$)$