In a small town there are 10,000 homes. When it comes to television viewing, the residents have three choices: they can subscribe to cable, they can pay for satellite service, or they watch no TV. (The town is sufficiently remote so that an antenna does not work.) In a given year, 80% of the cable customers stick with cable, 10% switch to satellite, and 10% quit watching TV. Over the same time period, 90% of satellite viewers continue with satellite service, 5% switch to cable, and 5% quit watching TV. And of those people who start the year not watching TV, 85% continue not watching, 5% subscribe to cable, and 10% get satellite service (see Figure below). Suppose that the current distribution is 8000 homes with cable, 1300 homes with satellite, and 700 homes with no TV. Find the distribution one year, two years, three years, and four years from now. (A graphing calculator is recommended. Round your answers to the nearest integer.) A = .80 .05 .05 .10 .90 .10 .10 .05 .85 one year from now two years from now three years from now four years from now -9900 cable satellite no TV 10% 5% Cable 80% 85% No TV 10% 5% 5% 10% Satellite U 90%

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In a small town there are 10,000 homes. When it comes to television viewing, the residents have three choices: they can subscribe to cable, they can pay for satellite service, or they watch no TV. (The town is
sufficiently remote so that an antenna does not work.) In a given year, 80% of the cable customers stick with cable, 10% switch to satellite, and 10% quit watching TV. Over the same time period, 90% of satellite
viewers continue with satellite service, 5% switch to cable, and 5% quit watching TV. And of those people who start the year not watching TV, 85% continue not watching, 5% subscribe to cable, and 10% get
satellite service (see Figure below). Suppose that the current distribution is 8000 homes with cable, 1300 homes with satellite, and 700 homes with no TV. Find the distribution one year, two years, three years,
and four years from now. (A graphing calculator is recommended. Round your answers to the nearest integer.)
A =
.80 .05 .05
.10 .90 .10
.10 .05 .85
cable
satellite
no TV
one year from now two years from now
10%
5%
Cable
80%
85%
No TV
10%
5%
5%
10%
Satellite
U
90%
three years from now four years from now
Transcribed Image Text:In a small town there are 10,000 homes. When it comes to television viewing, the residents have three choices: they can subscribe to cable, they can pay for satellite service, or they watch no TV. (The town is sufficiently remote so that an antenna does not work.) In a given year, 80% of the cable customers stick with cable, 10% switch to satellite, and 10% quit watching TV. Over the same time period, 90% of satellite viewers continue with satellite service, 5% switch to cable, and 5% quit watching TV. And of those people who start the year not watching TV, 85% continue not watching, 5% subscribe to cable, and 10% get satellite service (see Figure below). Suppose that the current distribution is 8000 homes with cable, 1300 homes with satellite, and 700 homes with no TV. Find the distribution one year, two years, three years, and four years from now. (A graphing calculator is recommended. Round your answers to the nearest integer.) A = .80 .05 .05 .10 .90 .10 .10 .05 .85 cable satellite no TV one year from now two years from now 10% 5% Cable 80% 85% No TV 10% 5% 5% 10% Satellite U 90% three years from now four years from now
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