Problem $2(3$ points$)$

A small airplane company called Just In Time flies between cities in Florida. It is trying to

decide whether to add one extra plane to its fleet next year. Passenger demand for the last four

months is as follows: Month $1=2000,$ Month $2=2050,$ Month $3=1950,$ and Month $4=2150$

passengers. Do not round intermediate calculations.

What is the forecast for the third month using exponential smoothing with $=0\mathrm{.}5?$

$($Calculate down to two decimal places using a calculator: Don't use Excel$)$