Actual demand for the past $16$ periods is shown below. Prepare a trend adjusted exponential smoothing forecast using the following parameters: $=\mathrm{.}4,=1,TA{F}_5=675\mathrm{.}67,$ and $T5=1\mathrm{.}67.($Round all your answers to two decimal points.$)$

$\backslash$table$[[$Period$,$Actual,TAF,S$,$T$],[1,670,,,],[2,669,,,],[3,676,,,],[4,675,,,],[5,674,,675\mathrm{.}00,1\mathrm{.}67],[6,678,675\mathrm{.}67,,1\mathrm{.}60],[7,684,,,1\mathrm{.}66],[8,685,678\mathrm{.}82,,1\mathrm{.}87],[9,684,,,1\mathrm{.}96],[10,683,,,1\mathrm{.}89],[11,690,,,1\mathrm{.}74],[12,690,,,1\mathrm{.}85],[13,696,690\mathrm{.}09,,1\mathrm{.}85],[14,697,691\mathrm{.}90,,2\mathrm{.}02],[15,699,,,2\mathrm{.}07],[16,701,,,2\mathrm{.}12],[17,,,,],[,,,,]]$