Question $5,$ Problem $4\mathrm{.}1$

HW Score: $28\mathrm{.}15\%,5\mathrm{.}07$ of $18$ points

Part $3$ of $6$

$()$ Points: $0$ of $1$

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Question $1$

Question $2$

Question $3$

Question $4$

Question $5$

$\frac{x}{?}$ Question $6$

$\frac{x}{5}$ Question $7$

Question $8$

Question $9$

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$\backslash$table$[[$Week Of$,$Pints Used$],[$August $31,350],[$September $7,372],[$September $14,412],[$September $21,381],[$September $28,366],[$October $5,378]]$

a$)$ The forecasted demand for the week of October $12$ using a $3-$week moving average $=375\mathrm{.}00$ pints $($round your response to two decimal places$).$

b$)$ Using a $3-$week weighted moving average, with weights of $0\mathrm{.}20,0\mathrm{.}25,$ and $0\mathrm{.}55,$ using $0\mathrm{.}55$ for the most recent week, the forecasted demand for the week of October $12=375\mathrm{.}60$ pints $($round your response to two decimal places and remember to use the weights in appropriate order $$ the largest weight applies to most recent period and smallest weight applies to oldest period.$)$

c$)$ If the forecasted demand for the week of August $31$ is $350$ and $=0\mathrm{.}25,$ using exponential smoothing, develop the forecast for each of the weeks with the known demand and the forecast for the week of October $12($round your responses to two decimal places$).$

$\backslash$table$[[$Week of$,$Pints Used,$\backslash$table$[[$Forecast for this$],[$Date$]]],[$August $31,350,350],[$September $7,372,350\mathrm{.}00],[$September $14,412,355\mathrm{.}50],[$September $21,381,$