Professor Leno needs to allocate time this week to include time for office hours. She needs to forecast the number of students who will seek appointments this week. She has gathered the following data:

WEEK

NUMBER OF STUDENTS

Two weeks ago

$6$

Last week

$7$

THIS WEEK

Not Known

Use TREND$-$ADJUSTED EXPONENTIAL SMOOTHING method to forecast the number of students who will seek appointments THIS WEEK. Use the following:

Exponentially smoothed forecast two weeks ago $=4$ students

Exponentially smoothed trend estimate two weeks ago $=1$ student

$$ Smoothing constants: $=0\mathrm{.}5,$ $=0\mathrm{.}4.$

What is the forecast for the number of students who will seek appointments with Professor Leno THIS WEEK?

Group of answer choices

$9\mathrm{.}11$ students

$11\mathrm{.}11$ students

$8\mathrm{.}11$ students

$10\mathrm{.}11$ students

$12\mathrm{.}11$ students