a$.$ Prepare forecasts for June through September by using a$$ three$-$period moving average model $($enter your responses rounded to the nearest whole$$ number$).$

Month

Demand

Forecast

March

$2$ comma $170$

April

$2$ comma $930$

May

$1$ comma $610$

June

$4$ comma $400$

$$

$2237$

July

$2$ comma $870$

$$

$2980$

August

$5$ comma $550$

$$

$2960$

September

$$

$4273$

b$.$ Prepare forecasts for June through September by using an exponential smoothing model with alphaequals$0\mathrm{.}5.$ Assume that the forecast for May was $2$ comma $100($enter your responses rounded to the nearest whole$$ number$).$