Using exponential smoothing, calculate the forecasts for the same months as in prob$-$ lem $8\mathrm{.}3$c$.$ The old average for month $3$ was $96$ and a $=0\mathrm{.}4.$ What is the difference between the two forecasts for month $11?$Month

Actual Demand

Forecast

$1$

$102$

$2$

$91$

$3$

$95$

$4$

$105$

$5$

$94$

$6$

$100$

$7$

$106$

$8$

$95$

$9$

$105$

$10$

$98$

$11$