Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 2.6, Problem 22E
To determine

To find: the maximum and minimum values for f(x,y) .

Expert Solution & Answer
Check Mark

Answer to Problem 22E

Maximum value is 11.

Minimum value is 5 .

Explanation of Solution

Given information:

  f(x,y)=2x+y+52y8x12x+y+216y5x

Calculation:

Graph for the given inequalities is shown below.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 2.6, Problem 22E

The vertices of the polygon boundary are (1,8),(1,4),(3,8),(3,2) and (6,2) . The maximum and minimum value of f(x,y) will occur at these points.

Solve the function to get maximum and minimum as follows:

  f(1,8)=2(1)+8+5=2+8+5=11f(1,4)=2(1)+4+5=2x+4+5=7f(3,8)=2(3)+8+5=6+8+5=7f(3,2)=2(3)+2+5=6+2+5=1f(6,2)=2(6)+2+5=12+2+5=5

Thus, the maximum and minimum value of f(x,y) is 11 and 5 respectively.

Chapter 2 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 2.1 - Prob. 11ECh. 2.1 - Prob. 12ECh. 2.1 - Prob. 13ECh. 2.1 - Prob. 14ECh. 2.1 - Prob. 15ECh. 2.1 - Prob. 16ECh. 2.1 - Prob. 17ECh. 2.1 - Prob. 18ECh. 2.1 - Prob. 19ECh. 2.1 - Prob. 20ECh. 2.1 - Prob. 21ECh. 2.1 - Prob. 22ECh. 2.1 - Prob. 23ECh. 2.1 - Prob. 24ECh. 2.1 - Prob. 25ECh. 2.1 - Prob. 26ECh. 2.1 - Prob. 27ECh. 2.1 - Prob. 28ECh. 2.1 - Prob. 29ECh. 2.1 - Prob. 30ECh. 2.1 - Prob. 31ECh. 2.1 - Prob. 32ECh. 2.1 - Prob. 33ECh. 2.1 - Prob. 34ECh. 2.1 - Prob. 35ECh. 2.1 - Prob. 36ECh. 2.1 - Prob. 37ECh. 2.1 - Prob. 38ECh. 2.1 - Prob. 39ECh. 2.1 - Prob. 40ECh. 2.1 - Prob. 41ECh. 2.1 - Prob. 42ECh. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - Prob. 45ECh. 2.2 - Prob. 1CFUCh. 2.2 - Prob. 2CFUCh. 2.2 - Prob. 3CFUCh. 2.2 - Prob. 4CFUCh. 2.2 - Prob. 5CFUCh. 2.2 - Prob. 6CFUCh. 2.2 - Prob. 7CFUCh. 2.2 - Prob. 8ECh. 2.2 - Prob. 9ECh. 2.2 - Prob. 10ECh. 2.2 - Prob. 11ECh. 2.2 - Prob. 12ECh. 2.2 - Prob. 13ECh. 2.2 - Prob. 14ECh. 2.2 - Prob. 15ECh. 2.2 - Prob. 16ECh. 2.2 - Prob. 17ECh. 2.2 - Prob. 18ECh. 2.2 - Prob. 19ECh. 2.2 - Prob. 20ECh. 2.2 - Prob. 21ECh. 2.2 - Prob. 22ECh. 2.2 - Prob. 23ECh. 2.2 - Prob. 24ECh. 2.2 - Prob. 25ECh. 2.2 - Prob. 26ECh. 2.2 - Prob. 27ECh. 2.2 - Prob. 28ECh. 2.2 - Prob. 29ECh. 2.3 - Prob. 1CFUCh. 2.3 - Prob. 2CFUCh. 2.3 - Prob. 3CFUCh. 2.3 - Prob. 4CFUCh. 2.3 - Prob. 5CFUCh. 2.3 - Prob. 6CFUCh. 2.3 - Prob. 7CFUCh. 2.3 - Prob. 8CFUCh. 2.3 - Prob. 9CFUCh. 2.3 - Prob. 10CFUCh. 2.3 - Prob. 11CFUCh. 2.3 - Prob. 12CFUCh. 2.3 - Prob. 13CFUCh. 2.3 - Prob. 14CFUCh. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Prob. 18ECh. 2.3 - Prob. 19ECh. 2.3 - Prob. 20ECh. 2.3 - Prob. 21ECh. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - Prob. 24ECh. 2.3 - Prob. 25ECh. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - Prob. 29ECh. 2.3 - Prob. 30ECh. 2.3 - Prob. 31ECh. 2.3 - Prob. 32ECh. 2.3 - Prob. 33ECh. 2.3 - Prob. 34ECh. 2.3 - Prob. 35ECh. 2.3 - Prob. 36ECh. 2.3 - Prob. 37ECh. 2.3 - Prob. 38ECh. 2.3 - Prob. 39ECh. 2.3 - Prob. 40ECh. 2.3 - Prob. 41ECh. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Prob. 45ECh. 2.3 - Prob. 46ECh. 2.3 - Prob. 47ECh. 2.3 - Prob. 48ECh. 2.3 - Prob. 49ECh. 2.3 - Prob. 50ECh. 2.3 - Prob. 51ECh. 2.3 - Prob. 52ECh. 2.3 - Prob. 53ECh. 2.3 - Prob. 54ECh. 2.3 - Prob. 55ECh. 2.3 - Prob. 56ECh. 2.3 - Prob. 57ECh. 2.3 - Prob. 58ECh. 2.3 - Prob. 59ECh. 2.3 - Prob. 60ECh. 2.3 - Prob. 61ECh. 2.3 - Prob. 62ECh. 2.3 - Prob. 63ECh. 2.3 - Prob. 64ECh. 2.4A - Prob. 1GCECh. 2.4A - Prob. 2GCECh. 2.4A - Prob. 3GCECh. 2.4A - Prob. 4GCECh. 2.4A - Prob. 1MCQCh. 2.4A - Prob. 2MCQCh. 2.4A - Prob. 3MCQCh. 2.4A - Prob. 4MCQCh. 2.4A - Prob. 5MCQCh. 2.4A - Prob. 6MCQCh. 2.4A - Prob. 7MCQCh. 2.4A - Prob. 8MCQCh. 2.4A - Prob. 9MCQCh. 2.4A - Prob. 10MCQCh. 2.4 - Prob. 1CFUCh. 2.4 - Prob. 2CFUCh. 2.4 - Prob. 3CFUCh. 2.4 - Prob. 4CFUCh. 2.4 - Prob. 5CFUCh. 2.4 - Prob. 6CFUCh. 2.4 - Prob. 7CFUCh. 2.4 - Prob. 8CFUCh. 2.4 - Prob. 9CFUCh. 2.4 - Prob. 10CFUCh. 2.4 - Prob. 11ECh. 2.4 - Prob. 12ECh. 2.4 - Prob. 13ECh. 2.4 - Prob. 14ECh. 2.4 - Prob. 15ECh. 2.4 - Prob. 16ECh. 2.4 - Prob. 17ECh. 2.4 - Prob. 18ECh. 2.4 - Prob. 19ECh. 2.4 - Prob. 20ECh. 2.4 - Prob. 21ECh. 2.4 - Prob. 22ECh. 2.4 - Prob. 23ECh. 2.4 - Prob. 24ECh. 2.4 - Prob. 25ECh. 2.4 - Prob. 26ECh. 2.4 - Prob. 27ECh. 2.4 - Prob. 28ECh. 2.4 - Prob. 29ECh. 2.4 - Prob. 30ECh. 2.4 - Prob. 31ECh. 2.4 - Prob. 32ECh. 2.4 - Prob. 33ECh. 2.4 - Prob. 34ECh. 2.4 - Prob. 35ECh. 2.4 - Prob. 36ECh. 2.4 - Prob. 37ECh. 2.4 - Prob. 38ECh. 2.4 - Prob. 39ECh. 2.4 - Prob. 40ECh. 2.4 - Prob. 41ECh. 2.4 - Prob. 42ECh. 2.5 - Prob. 1CFUCh. 2.5 - Prob. 2CFUCh. 2.5 - Prob. 3CFUCh. 2.5 - Prob. 4CFUCh. 2.5 - Prob. 5CFUCh. 2.5 - Prob. 6CFUCh. 2.5 - Prob. 7CFUCh. 2.5 - Prob. 8CFUCh. 2.5 - Prob. 9CFUCh. 2.5 - Prob. 10CFUCh. 2.5 - Prob. 11CFUCh. 2.5 - Prob. 12CFUCh. 2.5 - Prob. 13CFUCh. 2.5 - Prob. 14ECh. 2.5 - Prob. 15ECh. 2.5 - Prob. 16ECh. 2.5 - Prob. 17ECh. 2.5 - Prob. 18ECh. 2.5 - Prob. 19ECh. 2.5 - Prob. 20ECh. 2.5 - Prob. 21ECh. 2.5 - Prob. 22ECh. 2.5 - Prob. 23ECh. 2.5 - Prob. 24ECh. 2.5 - Prob. 25ECh. 2.5 - Prob. 26ECh. 2.5 - Prob. 27ECh. 2.5 - Prob. 28ECh. 2.5 - Prob. 29ECh. 2.5 - Prob. 30ECh. 2.5 - Prob. 31ECh. 2.5 - Prob. 32ECh. 2.5 - Prob. 33ECh. 2.5 - Prob. 34ECh. 2.5 - Prob. 35ECh. 2.5 - Prob. 36ECh. 2.5 - Prob. 37ECh. 2.5 - Prob. 38ECh. 2.5 - Prob. 39ECh. 2.5 - Prob. 40ECh. 2.5 - Prob. 41ECh. 2.5 - Prob. 42ECh. 2.5 - Prob. 43ECh. 2.5 - Prob. 44ECh. 2.5 - Prob. 45ECh. 2.5 - Prob. 46ECh. 2.5 - Prob. 47ECh. 2.5 - Prob. 48ECh. 2.5 - Prob. 49ECh. 2.5 - Prob. 50ECh. 2.5 - Prob. 51ECh. 2.5 - Prob. 52ECh. 2.5 - Prob. 53ECh. 2.5 - Prob. 54ECh. 2.5 - Prob. 55ECh. 2.5 - Prob. 56ECh. 2.5 - Prob. 57ECh. 2.5 - Prob. 58ECh. 2.5 - Prob. 59ECh. 2.5 - Prob. 60ECh. 2.5 - Prob. 61ECh. 2.5 - Prob. 62ECh. 2.5B - Prob. 1GCECh. 2.5B - Prob. 2GCECh. 2.5B - Prob. 3GCECh. 2.5B - Prob. 4GCECh. 2.5B - Prob. 5GCECh. 2.6 - Prob. 1CFUCh. 2.6 - Prob. 2CFUCh. 2.6 - Prob. 3CFUCh. 2.6 - Prob. 4CFUCh. 2.6 - Prob. 5CFUCh. 2.6 - Prob. 6CFUCh. 2.6 - Prob. 7CFUCh. 2.6 - Prob. 8CFUCh. 2.6 - Prob. 9ECh. 2.6 - Prob. 10ECh. 2.6 - Prob. 11ECh. 2.6 - Prob. 12ECh. 2.6 - Prob. 13ECh. 2.6 - Prob. 14ECh. 2.6 - Prob. 15ECh. 2.6 - Prob. 16ECh. 2.6 - Prob. 17ECh. 2.6 - Prob. 18ECh. 2.6 - Prob. 19ECh. 2.6 - Prob. 20ECh. 2.6 - Prob. 21ECh. 2.6 - Prob. 22ECh. 2.6 - Prob. 23ECh. 2.6 - Prob. 24ECh. 2.6 - Prob. 25ECh. 2.6 - Prob. 26ECh. 2.6 - Prob. 27ECh. 2.6 - Prob. 28ECh. 2.6 - Prob. 29ECh. 2.6 - Prob. 30ECh. 2.6 - Prob. 31ECh. 2.6 - Prob. 32ECh. 2.6 - Prob. 33ECh. 2.7 - Prob. 1CFUCh. 2.7 - Prob. 2CFUCh. 2.7 - Prob. 3CFUCh. 2.7 - Prob. 4CFUCh. 2.7 - Prob. 5CFUCh. 2.7 - Prob. 6CFUCh. 2.7 - Prob. 7CFUCh. 2.7 - Prob. 8CFUCh. 2.7 - Prob. 9ECh. 2.7 - Prob. 10ECh. 2.7 - Prob. 11ECh. 2.7 - Prob. 12ECh. 2.7 - Prob. 13ECh. 2.7 - Prob. 14ECh. 2.7 - Prob. 15ECh. 2.7 - Prob. 16ECh. 2.7 - Prob. 17ECh. 2.7 - Prob. 18ECh. 2.7 - Prob. 19ECh. 2.7 - Prob. 20ECh. 2.7 - Prob. 21ECh. 2.7 - Prob. 22ECh. 2.7 - Prob. 23ECh. 2.7 - Prob. 24ECh. 2.7 - Prob. 25ECh. 2.7 - Prob. 26ECh. 2.7 - Prob. 27ECh. 2.7 - Prob. 28ECh. 2 - Prob. 1SGACh. 2 - Prob. 2SGACh. 2 - Prob. 3SGACh. 2 - Prob. 4SGACh. 2 - Prob. 5SGACh. 2 - Prob. 6SGACh. 2 - Prob. 7SGACh. 2 - Prob. 8SGACh. 2 - Prob. 9SGACh. 2 - Prob. 10SGA
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