Sales of Volkswagens have grown steadily at auto dealerships in Nevada during the past $5$ years$($see table$$ below$).$ Using exponential smoothing with a smoothing constant $($alpha$)$ of $0\mathrm{.}30$ and a starting forecast of $410\mathrm{.}00,$ the following sales forecast has been$$ developed:

$$

Year

Sales

Forecasted Sales

$1$

$450$

$410\mathrm{.}00$

$2$

$495$

$422\mathrm{.}00$

$3$

$518$

$443\mathrm{.}90$

$4$

$570$

$466\mathrm{.}13$

$5$

$584$

$497\mathrm{.}29$

Part $2$

The MAD for a forecast developed using exponential smoothing with alpha $=0\mathrm{.}30$ is $\_\_\_\_\_\_\_$ sales $($round your response to two decimal$$ places$).$

Part $3$

Forecasted sales for years $2$ through $6$ using exponential smoothing with alpha $=0\mathrm{.}60$ and a starting forecast of $410\mathrm{.}00$ are $($round your responses to two decimal $$places$)$:

Year

$1$

$2$

$3$

$4$

$5$

$6$

Forecasted Sales

$410\mathrm{.}00$

$$

$422\mathrm{.}00$

$$

$443\mathrm{.}90$

$$

$466\mathrm{.}13$

$$

$497\mathrm{.}29$

Part $4$

The MAD for a forecast developed using exponential smoothing with alpha $=0\mathrm{.}60$ is

$$

$50\mathrm{.}79$ sales $($round your response to two decimal$$ places$).$

Part $5$

Forecasted sales for years $2$ through $6$ using exponential smoothing with alpha $=0\mathrm{.}90$ and a starting forecast of $410\mathrm{.}00$ are $($round your responses to two decimal $$places$)$:

Year

$1$

$2$

$3$

$4$

$5$

$6$

Forecasted Sales

$410\mathrm{.}00$

$$

$422\mathrm{.}00$

$$

$443\mathrm{.}90$

$$

$466\mathrm{.}13$

$$

$497\mathrm{.}29$

Part $6$

The MAD for a forecast developed using exponential smoothing with alpha $=0\mathrm{.}90$ is

$$

$8$ sales $($round your response to two decimal$$ places$)$