Prof. Verybusy 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:

Week

# Students

$6$ weeks ago

$83$

$5$ weeks ago

$110$

$4$ weeks ago

$95$

$3$ weeks ago

$80$

$2$ weeks ago

$65$

Last week

$50$

What is this week's forecast using exponential smoothing with smoothing constant $($alpha$)=0\mathrm{.}2,$ if the forecast for two weeks ago was $90?$

Select one:

a$.96$

b$.110$

c$.77$

d$.65$