Professor Very Busy Needs to Allocate Time Next Week to Include

Multiple Choice

Professor Very Busy needs to allocate time next week to include time for office hours. He needs to forecast the number of students who will seek appointments. He has gathered the following data: $$\begin{array} { l l } \text { Week } & \text {\# Students } \\\hline 6 \text { weeks ago } & 83 \\5 \text { weeks ago } & 110 \\4 \text { weeks ago } & 95 \\3 \text { weeks ago } & 80 \\2 \text { weeks ago } & 65 \\\text { Last week } & 50\end{array}$$ What is this week's forecast using trend-adjusted (double) smoothing with alpha = .5 and beta = .1, if the forecast for last week was 65, the forecast for two weeks ago was 75, and the trend estimate for last week's forecast was -5?

A) 49.3
B) 50.6
C) 51.3
D) 65.4
E) 78.7