The Toro Cutlery Company has collected monthly sales information below:

The company is examining two forecasting methods, moving average and exponential smoothing for forecasting sales.

a$.$ What will the forecast be for January the following year using a three$-,$ four$-,$ and five$-$month moving averages? Do not round intermediate calculations. Round your answers to the

nearest whole number.

Forecast $($January$,3-$month MA$)$:

Forecast $($January$,4-$month MA$)$:

Forecast $($January$,5-$month MA$)$:

b$.$ What will the forecast be for January the following year using exponential smoothing with $a=0\mathrm{.}5?$ Assume the forecast for February this year is $19,000.$ Do not round intermediate

calculations. Round your answer to the nearest whole number.