A forecasting method used to predict can opener sales applies the following set of weights to the last five periods of data: $\mathrm{.}1,\mathrm{.}1,\mathrm{.}2,\mathrm{.}2,\mathrm{.}4($with $\mathrm{.}4$ being applied to the most recent observation$).$ Below are the observed values of can opener sales. Period: $12345678$ Observation: $1822263314283052$

Nahmias, Steven; Olsen, Tava Lennon. Production and Operations Analytics $($p$.73).$ Kindle Edition.