The President of State University Wants to Forecast Student Enrollment $\alpha$

Multiple Choice

The president of State University wants to forecast student enrollment for this academic year based on the following historical data:
Year :Enrollments
5 years ago :15,000
4 years ago :16,000
3 years ago :18,000
2 years ago :20,000
Last year :21,000
-What is the forecast for this year using exponential smoothing with $\alpha$ = 0 5,if the forecast for two years ago was 16,000?

A) 18,750
B) 19,500
C) 21,000
D) 22,650
E) 22,800