Professor Z Needs to Allocate Time Among Several Tasks Next

Multiple Choice

Professor Z needs to allocate time among several tasks next week to include time for students' appointments. Thus, he needs to forecast the number of students who will seek appointments. He has gathered the following data:
$$\begin{array} { | c | c | } \hline \text { Week } & { \text { \# of students } } \\\hline 6 \text { weeks ago } & 85 \\\hline 5 \text { weeks ago } & 110 \\\hline 4 \text { weeks ago } & 95 \\\hline 3 \text { weeks ago } & 80 \\\hline 2 \text { weeks ago } & 65 \\\hline \text { Last week } & 50 \\\hline\end{array}$$
What is the forecast for this week using exponential smoothing with trend if ? = 0.5 and ? = 0.1? Assume the forecast for last week was 65 and the forecast for two weeks ago was 75, and that the trend estimate for last week's forecast was ?5.

A) 49
B) 50
C) 52
D) 65
E) 78