An auto insurance company classifies its customers in three categories: poor, satisfactory, and preferred. Each year, 25% of those in the poor category are moved to satisfactory and 10% of those in the satisfactory category are moved to preferred. Also, 10% in the preferred category are moved to the satisfactory category, and 10% of those in the satisfactory category are moved to the poor category. Customers are never moved from poor to preferred, or conversely, in a single year. Assuming these percentages remain valid over a long period of time, how many customers can the company expect to have in each category in the long run? Poor =% (Round to the nearest tenth if necessary.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

Subject: calculus 

 

 

An auto insurance company classifies its customers in three categories: poor, satisfactory, and preferred. Each year,
25% of those in the poor category are moved to satisfactory and 10% of those in the satisfactory category are moved to
preferred. Also, 10% in the preferred category are moved to the satisfactory category, and 10% of those in the
satisfactory category are moved to the poor category. Customers are never moved from poor to preferred,
or conversely, in a single year. Assuming these percentages remain valid over a long period of time, how many
customers can the company expect to have in each category in the long run?
Poor =% (Round to the nearest tenth if necessary.)
Transcribed Image Text:An auto insurance company classifies its customers in three categories: poor, satisfactory, and preferred. Each year, 25% of those in the poor category are moved to satisfactory and 10% of those in the satisfactory category are moved to preferred. Also, 10% in the preferred category are moved to the satisfactory category, and 10% of those in the satisfactory category are moved to the poor category. Customers are never moved from poor to preferred, or conversely, in a single year. Assuming these percentages remain valid over a long period of time, how many customers can the company expect to have in each category in the long run? Poor =% (Round to the nearest tenth if necessary.)
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning