Each year, employees at a company are given the option of donating to a local charity as part of a payroll deduction plan. In general, 80 percent of the employees enrolled in the plan in any one year will choose to sign up again the following year, and 30 percent of the unenrolled will choose to enroll the following year. Determine the transition matrix for the Markov process and find the steadystate vector. What percentage of employees would you expect to find enrolled in the program in the long run?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Each year, employees at a company are given the
option of donating to a local charity as part of a
payroll deduction plan. In general, 80 percent of
the employees enrolled in the plan in any one year
will choose to sign up again the following year,
and 30 percent of the unenrolled will choose to
enroll the following year. Determine the transition
matrix for the Markov process and find the steadystate
vector. What percentage of employees would
you expect to find enrolled in the program in the
long run?

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