   Chapter 4.3, Problem 21E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Internet Audience At the end of 2003 the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users.19 Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3 ( x − y ) + 6 x + y = 50 + z + u and x − y + z − u = 42 .How large was the audience of each of the four companies in November 2003?

To determine

To calculate: The audience of Microsoft, Time Warner, Yahoo and Google, if the total audience of all the four is 284 million.

Explanation

Given information:

Total audience of Microsoft, Time Warner, Yahoo and Google is 284 million.

Calculation:

Let’s consider the audience for Microsoft as x, Time Warner as y and Yahoo as z and Google as u.

As per given information:

The equations are:

zu=3(xy)+6 …… (1)

x+y=50+z+u …… (2)

xy+zu=42 …… (3)

Again, as the total audience is 284 million.

Therefore,

x+y+z+u=284 …… (4)

The given equations can be written as:

3x+3y+zu=6x+yzu=50xy+zu=42

The augmented matrix of the system of above equations is,



Use Ti-83 to reduce the above matrix in row echelon form:

Step1: Press ON key.

Step2: Press 2nd+x1 key, then go to EDIT option

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