$14\mathrm{.}2.$ During the noon hour this past Wednesday $)=(5$ at a fast$-$food restaurant, $A_5=72$ hamburgers were sold. The smoothed value calculated the week before was $S_4=67.$ Update the forecast for next Wednesday using simple exponential smoothing with $a$ of $0\mathrm{.}1.$

$14\mathrm{.}3.$ For the data in Exercise $14\mathrm{.}2,$ update the fast$-$food restaurant forecast if a trend value of $1\mathrm{.}4$ was calculated for the previous week. With $$ of $0\mathrm{.}3$ update the trend for this week, and determine the forecast for next Wednesday using exponential smoothing with trend adjustment.