The table below shows the actual demand over a six$-$month period for a travel service that offers a tour of a recently discovered archaeological site with ruins from an ancient civilization. The table also shows the forecasted demand for the first month $($June$).$

$\backslash$table$[[$Month$,$Actual Demand,Forecast$],[$June$,435,330],[$July$,412,],[$August$,421,],[$September$,757,],[$October$,669,],[$November$,621,]]$

$3$a$)$ What is the three$-$period moving average forecast for October?

$3$b$)$ What is the four$-$period moving average forecast for December?

$3$c$)$ Using $=0\mathrm{.}42,$ what is the exponential smoothing forecast for July?

ANSWERS

$3$a$)F_{10}=530\mathrm{.}00$

$3$b$)F_{12}=617\mathrm{.}00$

$3$c$)F_7=374\mathrm{.}10$