The following table gives the number of pints of type A blood used at Damascus Hospital in the past $6$ weeks:

$\backslash$table$[[$Week Of$,$Pints Used$],[$August $31,345],[$September $7,389],[$September $14,410],[$September $21,383],[$September $28,371],[$October $5,374]]$

a$)$ The forecasted demand for the week of October $12$ using a $3-$week moving average $=376$ pints $($round your response to two decimal places$).$

b$)$ Using a $3-$week weighted moving average, with weights of $0\mathrm{.}15,0\mathrm{.}25,$ and $0\mathrm{.}60,$ using $0\mathrm{.}60$ for the most recent week, the forecasted demand for the week of October $12=374\mathrm{.}6$ 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 $345$ and $=0\mathrm{.}30,$ 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 $31,345,345],[$September $7,389,345\mathrm{.}00],[$September $14,410,358\mathrm{.}20],[$September $21,383,373\mathrm{.}74],[$September $28,371,]]$