A City Is Served by Three Cable TV Companies: Xcellent

question 47

Essay

A city is served by three cable TV companies: Xcellent Cable,Your Cable,and Zephyr Cable.A survey of 1000 cable subscribers shows this breakdown of customers from the beginning to the end of August. $$\begin{array} { c | c c c } \text { Company on } & { \text { Company on August 31 } } \\\text { August 1 } & \text { Xcellent } & \text { Your } & \text { Zephyr } \\\hline \text { Xcellent } & 300 & 50 & 50 \\\text { Your } & 10 & 200 & 40 \\\text { Zephyr } & 40 & 80 & 230\end{array}$$
a.Construct the transition matrix.
b.What was each company's share of the market at the beginning and the end of the month?
c.If the current trend continues what will the market shares be?

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Definitions:

Congress

The national legislative body of the United States, consisting of two houses: the Senate and the House of Representatives.

Republican Motherhood

The idea that women's role was to cultivate civic virtue in their children, thereby contributing to the health of the republic, emphasized in the United States during the late 18th century.

Political Policies

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New Republic

Refers to a period or state entity formed after breaking away from a previous form of government, often associated with revolutions or major political changes.