Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 3.4, Problem 33HP
To determine

To explain: The reason behind that in linear programming more than one vertex can yield maximum value for the objective function.

Expert Solution & Answer
Check Mark

Answer to Problem 33HP

The reason behind is slope of objective function is equal to slope of boundary region.

Explanation of Solution

Given information:

The same maximum value for the function f(x,y)=16y+4x is obtained at the points A(−3,4) and B(5,2) when solved by Ayumi. Kelvin cross checked and find the results correct. He remarked that those two points were not the only maximum values in the feasible region.

Calculation:

Consider the provided information that the same maximum value for the function f(x,y)=16y+4x is obtained at the points A(−3,4) and B(5,2) when solved by Ayumi. Kelvin cross checked and find the results correct. He remarked that those two points not the only maximum values in the feasible region.

The reason behind that in linear programming more than one vertex can yield maximum value for the objective function is slope of objective function is equal to slope of boundary region.

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Chapter 3.4, Problem 32HP
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Chapter 3.4, Problem 34HP

Chapter 3 Solutions

Algebra 2

Ch. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2ACYPCh. 3.1 - Prob. 2BCYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYPCh. 3.1 - Prob. 4CCYPCh. 3.1 - Prob. 4DCYPCh. 3.1 - Prob. 1CYU
Ch. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42HPCh. 3.1 - Prob. 43HPCh. 3.1 - Prob. 44HPCh. 3.1 - Prob. 45HPCh. 3.1 - Prob. 46HPCh. 3.1 - Prob. 47HPCh. 3.1 - Prob. 48HPCh. 3.1 - Prob. 49HPCh. 3.1 - Prob. 50HPCh. 3.1 - Prob. 51STPCh. 3.1 - Prob. 52STPCh. 3.1 - Prob. 53STPCh. 3.1 - Prob. 54STPCh. 3.1 - Prob. 55STPCh. 3.1 - Prob. 56STPCh. 3.1 - Prob. 57STPCh. 3.1 - Prob. 58STPCh. 3.1 - Prob. 59STPCh. 3.1 - Prob. 60STPCh. 3.1 - Prob. 61SCh. 3.1 - Prob. 62SCh. 3.1 - Prob. 63SCh. 3.1 - Prob. 64SCh. 3.1 - Prob. 65SCh. 3.1 - Prob. 66SCh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.2 - Prob. 1ACYPCh. 3.2 - Prob. 1BCYPCh. 3.2 - Prob. 1CCYPCh. 3.2 - Prob. 2ACYPCh. 3.2 - Prob. 2BCYPCh. 3.2 - Prob. 2CCYPCh. 3.2 - Prob. 3CYPCh. 3.2 - Prob. 4ACYPCh. 3.2 - Prob. 4BCYPCh. 3.2 - Prob. 1CYUCh. 3.2 - Prob. 2CYUCh. 3.2 - Prob. 3CYUCh. 3.2 - Prob. 4CYUCh. 3.2 - Prob. 5CYUCh. 3.2 - Prob. 6CYUCh. 3.2 - Prob. 7CYUCh. 3.2 - Prob. 8CYUCh. 3.2 - Prob. 9CYUCh. 3.2 - Prob. 10CYUCh. 3.2 - Prob. 11CYUCh. 3.2 - Prob. 12CYUCh. 3.2 - Prob. 13CYUCh. 3.2 - Prob. 14CYUCh. 3.2 - Prob. 15PPSCh. 3.2 - Prob. 16PPSCh. 3.2 - Prob. 17PPSCh. 3.2 - Prob. 18PPSCh. 3.2 - Prob. 19PPSCh. 3.2 - Prob. 20PPSCh. 3.2 - Prob. 21PPSCh. 3.2 - Prob. 22PPSCh. 3.2 - Prob. 23PPSCh. 3.2 - Prob. 24PPSCh. 3.2 - Prob. 25PPSCh. 3.2 - Prob. 26PPSCh. 3.2 - Prob. 27PPSCh. 3.2 - Prob. 28PPSCh. 3.2 - Prob. 29PPSCh. 3.2 - Prob. 30PPSCh. 3.2 - Prob. 31PPSCh. 3.2 - Prob. 32PPSCh. 3.2 - Prob. 33PPSCh. 3.2 - Prob. 34PPSCh. 3.2 - Prob. 35PPSCh. 3.2 - Prob. 36PPSCh. 3.2 - Prob. 37PPSCh. 3.2 - Prob. 38PPSCh. 3.2 - Prob. 39PPSCh. 3.2 - Prob. 40PPSCh. 3.2 - Prob. 41PPSCh. 3.2 - Prob. 42PPSCh. 3.2 - Prob. 43PPSCh. 3.2 - Prob. 44PPSCh. 3.2 - Prob. 45PPSCh. 3.2 - Prob. 46PPSCh. 3.2 - Prob. 47PPSCh. 3.2 - Prob. 48PPSCh. 3.2 - Prob. 49PPSCh. 3.2 - Prob. 50PPSCh. 3.2 - Prob. 51PPSCh. 3.2 - Prob. 52PPSCh. 3.2 - Prob. 53PPSCh. 3.2 - Prob. 54PPSCh. 3.2 - Prob. 55PPSCh. 3.2 - Prob. 56PPSCh. 3.2 - Prob. 57PPSCh. 3.2 - Prob. 58PPSCh. 3.2 - Prob. 59PPSCh. 3.2 - Prob. 60PPSCh. 3.2 - Prob. 61PPSCh. 3.2 - Prob. 62PPSCh. 3.2 - Prob. 63PPSCh. 3.2 - Prob. 64HPCh. 3.2 - Prob. 65HPCh. 3.2 - Prob. 66HPCh. 3.2 - Prob. 67HPCh. 3.2 - Prob. 68HPCh. 3.2 - Prob. 69HPCh. 3.2 - Prob. 70HPCh. 3.2 - Prob. 71HPCh. 3.2 - Prob. 72HPCh. 3.2 - Prob. 73STPCh. 3.2 - Prob. 74STPCh. 3.2 - Prob. 75STPCh. 3.2 - Prob. 76STPCh. 3.2 - Prob. 77STPCh. 3.2 - Prob. 78STPCh. 3.2 - Prob. 79STPCh. 3.2 - Prob. 80STPCh. 3.2 - Prob. 81SCh. 3.2 - Prob. 82SCh. 3.2 - Prob. 83SCh. 3.3 - Prob. 1ACYPCh. 3.3 - Prob. 1BCYPCh. 3.3 - Prob. 2ACYPCh. 3.3 - Prob. 2BCYPCh. 3.3 - Prob. 3CYPCh. 3.3 - Prob. 4ACYPCh. 3.3 - Prob. 4BCYPCh. 3.3 - Prob. 1CYUCh. 3.3 - Prob. 2CYUCh. 3.3 - Prob. 3CYUCh. 3.3 - Prob. 4CYUCh. 3.3 - Prob. 5CYUCh. 3.3 - Prob. 6CYUCh. 3.3 - Prob. 7PPSCh. 3.3 - Prob. 8PPSCh. 3.3 - Prob. 9PPSCh. 3.3 - Prob. 10PPSCh. 3.3 - Prob. 11PPSCh. 3.3 - Prob. 12PPSCh. 3.3 - Prob. 13PPSCh. 3.3 - Prob. 14PPSCh. 3.3 - Prob. 15PPSCh. 3.3 - Prob. 16PPSCh. 3.3 - Prob. 17PPSCh. 3.3 - Prob. 18PPSCh. 3.3 - Prob. 19PPSCh. 3.3 - Prob. 20PPSCh. 3.3 - Prob. 21PPSCh. 3.3 - Prob. 22PPSCh. 3.3 - Prob. 23PPSCh. 3.3 - Prob. 24PPSCh. 3.3 - Prob. 25PPSCh. 3.3 - Prob. 26PPSCh. 3.3 - Prob. 27PPSCh. 3.3 - Prob. 28PPSCh. 3.3 - Prob. 29PPSCh. 3.3 - Prob. 30PPSCh. 3.3 - Prob. 31PPSCh. 3.3 - Prob. 32PPSCh. 3.3 - Prob. 33PPSCh. 3.3 - Prob. 34PPSCh. 3.3 - Prob. 35PPSCh. 3.3 - Prob. 36PPSCh. 3.3 - Prob. 37PPSCh. 3.3 - Prob. 38PPSCh. 3.3 - Prob. 39PPSCh. 3.3 - Prob. 40PPSCh. 3.3 - Prob. 41PPSCh. 3.3 - Prob. 42PPSCh. 3.3 - Prob. 43PPSCh. 3.3 - Prob. 44PPSCh. 3.3 - Prob. 45HPCh. 3.3 - Prob. 46HPCh. 3.3 - Prob. 47HPCh. 3.3 - Prob. 48HPCh. 3.3 - Prob. 49HPCh. 3.3 - Prob. 50HPCh. 3.3 - Prob. 51HPCh. 3.3 - Prob. 52HPCh. 3.3 - Prob. 53HPCh. 3.3 - Prob. 54HPCh. 3.3 - Prob. 55STPCh. 3.3 - Prob. 56STPCh. 3.3 - Prob. 57STPCh. 3.3 - Prob. 58STPCh. 3.3 - Prob. 59STPCh. 3.3 - Prob. 60STPCh. 3.3 - Prob. 61STPCh. 3.3 - Prob. 62STPCh. 3.3 - Prob. 63SCh. 3.3 - Prob. 64SCh. 3.3 - Prob. 65SCh. 3.3 - Prob. 66SCh. 3.3 - Prob. 67SCh. 3.3 - Prob. 68SCh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.4 - Prob. 1ACYPCh. 3.4 - Prob. 1BCYPCh. 3.4 - Prob. 2ACYPCh. 3.4 - Prob. 2BCYPCh. 3.4 - Prob. 3CYPCh. 3.4 - Prob. 1CYUCh. 3.4 - Prob. 2CYUCh. 3.4 - Prob. 3CYUCh. 3.4 - Prob. 4CYUCh. 3.4 - Prob. 5CYUCh. 3.4 - Prob. 6CYUCh. 3.4 - Prob. 7CYUCh. 3.4 - Prob. 8PPSCh. 3.4 - Prob. 9PPSCh. 3.4 - Prob. 10PPSCh. 3.4 - Prob. 11PPSCh. 3.4 - Prob. 12PPSCh. 3.4 - Prob. 13PPSCh. 3.4 - Prob. 14PPSCh. 3.4 - Prob. 15PPSCh. 3.4 - Prob. 16PPSCh. 3.4 - Prob. 17PPSCh. 3.4 - Prob. 18PPSCh. 3.4 - Prob. 19PPSCh. 3.4 - Prob. 20PPSCh. 3.4 - Prob. 21PPSCh. 3.4 - Prob. 22PPSCh. 3.4 - Prob. 23PPSCh. 3.4 - Prob. 24PPSCh. 3.4 - Prob. 25PPSCh. 3.4 - Prob. 26PPSCh. 3.4 - Prob. 27PPSCh. 3.4 - Prob. 28PPSCh. 3.4 - Prob. 29PPSCh. 3.4 - Prob. 30HPCh. 3.4 - Prob. 31HPCh. 3.4 - Prob. 32HPCh. 3.4 - Prob. 33HPCh. 3.4 - Prob. 34HPCh. 3.4 - Prob. 35HPCh. 3.4 - Prob. 36HPCh. 3.4 - Prob. 37HPCh. 3.4 - Prob. 38STPCh. 3.4 - Prob. 39STPCh. 3.4 - Prob. 40STPCh. 3.4 - Prob. 41STPCh. 3.4 - Prob. 42STPCh. 3.4 - Prob. 43STPCh. 3.4 - Prob. 44STPCh. 3.4 - Prob. 45STPCh. 3.4 - Prob. 46STPCh. 3.4 - Prob. 47STPCh. 3.4 - Prob. 48STPCh. 3.4 - Prob. 49STPCh. 3.4 - Prob. 50SCh. 3.4 - Prob. 51SCh. 3.4 - Prob. 52SCh. 3.4 - Prob. 53SCh. 3.4 - Prob. 54SCh. 3.4 - Prob. 55SCh. 3.5 - Prob. 1ACYPCh. 3.5 - Prob. 1BCYPCh. 3.5 - Prob. 2ACYPCh. 3.5 - Prob. 2BCYPCh. 3.5 - Prob. 3CYPCh. 3.5 - Prob. 1CYUCh. 3.5 - Prob. 2CYUCh. 3.5 - Prob. 3CYUCh. 3.5 - Prob. 4CYUCh. 3.5 - Prob. 5CYUCh. 3.5 - Prob. 6CYUCh. 3.5 - Prob. 7CYUCh. 3.5 - Prob. 8PPSCh. 3.5 - Prob. 9PPSCh. 3.5 - Prob. 10PPSCh. 3.5 - Prob. 11PPSCh. 3.5 - Prob. 12PPSCh. 3.5 - Prob. 13PPSCh. 3.5 - Prob. 14PPSCh. 3.5 - Prob. 15PPSCh. 3.5 - Prob. 16PPSCh. 3.5 - Prob. 17PPSCh. 3.5 - Prob. 18PPSCh. 3.5 - Prob. 19PPSCh. 3.5 - Prob. 20PPSCh. 3.5 - Prob. 21PPSCh. 3.5 - Prob. 22PPSCh. 3.5 - Prob. 23PPSCh. 3.5 - Prob. 24HPCh. 3.5 - Prob. 25HPCh. 3.5 - Prob. 26HPCh. 3.5 - Prob. 27HPCh. 3.5 - Prob. 28HPCh. 3.5 - Prob. 29HPCh. 3.5 - Prob. 30HPCh. 3.5 - Prob. 31HPCh. 3.5 - Prob. 32HPCh. 3.5 - Prob. 33HPCh. 3.5 - Prob. 34STPCh. 3.5 - Prob. 35STPCh. 3.5 - Prob. 36STPCh. 3.5 - Prob. 37STPCh. 3.5 - Prob. 38STPCh. 3.5 - Prob. 39SCh. 3.5 - Prob. 40SCh. 3.5 - Prob. 41SCh. 3.5 - Prob. 42SCh. 3 - Prob. 1QCCh. 3 - Prob. 2QCCh. 3 - Prob. 3QCCh. 3 - Prob. 4QCCh. 3 - Prob. 5QCCh. 3 - Prob. 6QCCh. 3 - Prob. 7QCCh. 3 - Prob. 8QCCh. 3 - Prob. 9QCCh. 3 - Prob. 10QCCh. 3 - Prob. 11QCCh. 3 - Prob. 12QCCh. 3 - Prob. 13QCCh. 3 - Prob. 14QCCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 19MCQCh. 3 - Prob. 20MCQCh. 3 - Prob. 21MCQCh. 3 - Prob. 22MCQCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - Prob. 6SGRCh. 3 - Prob. 7SGRCh. 3 - Prob. 8SGRCh. 3 - Prob. 9SGRCh. 3 - Prob. 10SGRCh. 3 - Prob. 11SGRCh. 3 - Prob. 12SGRCh. 3 - Prob. 13SGRCh. 3 - Prob. 14SGRCh. 3 - Prob. 15SGRCh. 3 - Prob. 16SGRCh. 3 - Prob. 17SGRCh. 3 - Prob. 18SGRCh. 3 - Prob. 19SGRCh. 3 - Prob. 20SGRCh. 3 - Prob. 21SGRCh. 3 - Prob. 22SGRCh. 3 - Prob. 23SGRCh. 3 - Prob. 24SGRCh. 3 - Prob. 25SGRCh. 3 - Prob. 26SGRCh. 3 - Prob. 27SGRCh. 3 - Prob. 28SGRCh. 3 - Prob. 29SGRCh. 3 - Prob. 30SGRCh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - Prob. 12PTCh. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 1ECh. 3 - Prob. 2ECh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 1STPCh. 3 - Prob. 2STPCh. 3 - Prob. 3STPCh. 3 - Prob. 4STPCh. 3 - Prob. 5STPCh. 3 - Prob. 6STPCh. 3 - Prob. 7STPCh. 3 - Prob. 8STPCh. 3 - Prob. 9STPCh. 3 - Prob. 10STPCh. 3 - Prob. 11STPCh. 3 - Prob. 12STPCh. 3 - Prob. 13STP

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