A$).$ Over the past three months, the demand for a product has been $255,219,$ and $231.$ Calculate the three$-$month moving average forecast for month $4.$ If the actual demand in month $4$ is $228,$ calculate the forecast for month $5.(2+2$ marks$)$

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B$).$ Using exponential smoothing, calculate the forecasts for months $2,3,4,5,$ and $6.$ The smoothing constant is $0\mathrm{.}2,$ and the old forecast for month $1$ is $245.(5$ marks$)$

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Month

Actual demand

Forecast demand

$1$

$260$

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$2$

$230$

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$3$

$225$

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$4$

$245$

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$5$

$250$

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$6$

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