The chairperson of the department of management at State University wants to forecast the

number of students who will enroll in production and operations management next semester in

order to determine how many sections to schedule. The chair has accumulated the following

enrollment data for the past eight semesters:

Semester Students Enrolled in POM

$1400$

$2450$

$3350$

$4420$

$5500$

$6575$

$7490$

$8650$

a$.$ Compute a three$-$semester moving average forecast $($MA$3)$ for semesters $4$ through $9.$

b$.$ Compute the exponentially smoothed forecast $(=\mathrm{.}20)$ for the enrollment data.

c$.$ Compare the forecasts using Bias and MAD. Determine the method you think is best?