Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Question
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Chapter 3.3, Problem 4CYU
To determine

To sketch: the graph given system of inequalities and to name the coordinates of the vertices of the feasible region, and to find the maximum and minimum values of the given function for this region.

Expert Solution & Answer
Check Mark

Answer to Problem 4CYU

The vertices of the feasible region are,

  (−2,6),(−8,−2) and (2,−2)

The maximum value of the given function is 36 at point (−8,−2) and minimum value is −30 at point (−2,6) .

Explanation of Solution

Given information:

Given system of inequalities,

  −2≤y≤63y≤4x+26y≤−2x+2

Given function

  f(x,y)=−3x−6y

Calculation:

Consider the given function

  f(x,y)=−3x−6y

Graph given system of inequalities on the same graph paper as follows using MAPLE as given below:

  Glencoe Algebra 2 Student Edition C2014, Chapter 3.3, Problem 4CYU

From the graph, the coordinates of the vertices of the feasible region are,

  (−2,6),(−8,−2) and (2,−2)

Compute the value of the given function f(x,y)=−3x−6y at given vertex,

At point (−2,6) .

  f(−2,6)=−3×(−2)−6×(6)=6−36=−30

At point (−8,−2) ,

  f(−8,−2)=−3×(−8)−6×(−2)=24+12=36

At point (2,−2) ,

  f(2,−2)=3×(2)−6×(−2)=−6+12=6

Therefore, the maximum value of the given function is 36 at point (−8,−2) and minimum value is −30 at point (−2,6) .

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Chapter 3.3, Problem 3CYU
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Chapter 3.3, Problem 5CYU

Chapter 3 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 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. 10E
Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2AGPCh. 3.1 - Prob. 2BGPCh. 3.1 - Prob. 3AGPCh. 3.1 - Prob. 3BGPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 4CGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 6GPCh. 3.1 - Prob. 1CYUCh. 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. 13CYUCh. 3.1 - Prob. 14CYUCh. 3.1 - Prob. 15CYUCh. 3.1 - Prob. 16CYUCh. 3.1 - Prob. 17CYUCh. 3.1 - Prob. 18CYUCh. 3.1 - Prob. 19CYUCh. 3.1 - Prob. 20CYUCh. 3.1 - Prob. 21CYUCh. 3.1 - Prob. 22CYUCh. 3.1 - Prob. 23CYUCh. 3.1 - Prob. 24CYUCh. 3.1 - Prob. 25CYUCh. 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 - 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Prob. 49SRCh. 3.3 - Prob. 50SCh. 3.3 - Prob. 51SCh. 3.3 - Prob. 52SCh. 3.3 - Prob. 53SCh. 3.3 - Prob. 54SCh. 3.3 - Prob. 55SCh. 3.4 - Prob. 1AGPCh. 3.4 - Prob. 1BGPCh. 3.4 - Prob. 2AGPCh. 3.4 - Prob. 2BGPCh. 3.4 - Prob. 3GPCh. 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. 24HPCh. 3.4 - Prob. 25HPCh. 3.4 - Prob. 26HPCh. 3.4 - Prob. 27HPCh. 3.4 - Prob. 28HPCh. 3.4 - Prob. 29HPCh. 3.4 - Prob. 30STPCh. 3.4 - Prob. 31STPCh. 3.4 - Prob. 32STPCh. 3.4 - Prob. 33STPCh. 3.4 - Prob. 34SRCh. 3.4 - Prob. 35SRCh. 3.4 - Prob. 36SRCh. 3.4 - Prob. 37SRCh. 3.4 - Prob. 38SRCh. 3.4 - Prob. 39SCh. 3.4 - Prob. 40SCh. 3.4 - Prob. 41SCh. 3.4 - Prob. 42SCh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 1GPCh. 3.5 - Prob. 2AGPCh. 3.5 - Prob. 2BGPCh. 3.5 - Prob. 2CGPCh. 3.5 - Prob. 3GPCh. 3.5 - Prob. 4GPCh. 3.5 - Prob. 5GPCh. 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. 8CYUCh. 3.5 - Prob. 9CYUCh. 3.5 - Prob. 10CYUCh. 3.5 - Prob. 11CYUCh. 3.5 - Prob. 12CYUCh. 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. 24PPSCh. 3.5 - Prob. 25PPSCh. 3.5 - Prob. 26PPSCh. 3.5 - Prob. 27PPSCh. 3.5 - Prob. 28PPSCh. 3.5 - Prob. 29PPSCh. 3.5 - Prob. 30PPSCh. 3.5 - Prob. 31HPCh. 3.5 - Prob. 32HPCh. 3.5 - Prob. 33HPCh. 3.5 - Prob. 34HPCh. 3.5 - Prob. 35HPCh. 3.5 - Prob. 36HPCh. 3.5 - Prob. 37STPCh. 3.5 - Prob. 38STPCh. 3.5 - Prob. 39STPCh. 3.5 - Prob. 40STPCh. 3.5 - Prob. 41SRCh. 3.5 - Prob. 42SRCh. 3.5 - Prob. 43SRCh. 3.5 - Prob. 44SRCh. 3.5 - Prob. 45SRCh. 3.5 - Prob. 46SRCh. 3.5 - Prob. 47SRCh. 3.5 - Prob. 48SRCh. 3.5 - Prob. 49SRCh. 3.5 - Prob. 50SCh. 3.5 - Prob. 51SCh. 3.5 - Prob. 52SCh. 3.6 - Prob. 1AGPCh. 3.6 - Prob. 1BGPCh. 3.6 - Prob. 2GPCh. 3.6 - Prob. 3GPCh. 3.6 - Prob. 4GPCh. 3.6 - Prob. 5GPCh. 3.6 - Prob. 1CYUCh. 3.6 - Prob. 2CYUCh. 3.6 - Prob. 3CYUCh. 3.6 - Prob. 4CYUCh. 3.6 - Prob. 5CYUCh. 3.6 - Prob. 6CYUCh. 3.6 - Prob. 7CYUCh. 3.6 - Prob. 8CYUCh. 3.6 - Prob. 9CYUCh. 3.6 - Prob. 10CYUCh. 3.6 - Prob. 11CYUCh. 3.6 - Prob. 12CYUCh. 3.6 - Prob. 13CYUCh. 3.6 - Prob. 14CYUCh. 3.6 - Prob. 15PPSCh. 3.6 - Prob. 16PPSCh. 3.6 - Prob. 17PPSCh. 3.6 - Prob. 18PPSCh. 3.6 - Prob. 19PPSCh. 3.6 - Prob. 20PPSCh. 3.6 - Prob. 21PPSCh. 3.6 - Prob. 22PPSCh. 3.6 - Prob. 23PPSCh. 3.6 - Prob. 24PPSCh. 3.6 - Prob. 25PPSCh. 3.6 - Prob. 26PPSCh. 3.6 - Prob. 27PPSCh. 3.6 - Prob. 28PPSCh. 3.6 - Prob. 29PPSCh. 3.6 - Prob. 30PPSCh. 3.6 - Prob. 31PPSCh. 3.6 - Prob. 32PPSCh. 3.6 - Prob. 33PPSCh. 3.6 - Prob. 34PPSCh. 3.6 - Prob. 35PPSCh. 3.6 - Prob. 36PPSCh. 3.6 - Prob. 37PPSCh. 3.6 - Prob. 38PPSCh. 3.6 - Prob. 39PPSCh. 3.6 - Prob. 40PPSCh. 3.6 - Prob. 41PPSCh. 3.6 - Prob. 42PPSCh. 3.6 - Prob. 43PPSCh. 3.6 - Prob. 44PPSCh. 3.6 - Prob. 45PPSCh. 3.6 - Prob. 46HPCh. 3.6 - Prob. 47HPCh. 3.6 - Prob. 48HPCh. 3.6 - Prob. 49HPCh. 3.6 - Prob. 50HPCh. 3.6 - Prob. 51STPCh. 3.6 - Prob. 52STPCh. 3.6 - Prob. 53STPCh. 3.6 - Prob. 54STPCh. 3.6 - Prob. 55SRCh. 3.6 - Prob. 56SRCh. 3.6 - Prob. 57SRCh. 3.6 - Prob. 58SRCh. 3.6 - Prob. 59SRCh. 3.6 - Prob. 60SRCh. 3.6 - Prob. 61SRCh. 3.6 - Prob. 62SRCh. 3.6 - Prob. 63SCh. 3.6 - Prob. 64SCh. 3.6 - Prob. 65SCh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.7 - Prob. 1AGPCh. 3.7 - Prob. 1BGPCh. 3.7 - Prob. 2AGPCh. 3.7 - Prob. 2BGPCh. 3.7 - Prob. 3GPCh. 3.7 - Prob. 4AGPCh. 3.7 - Prob. 4BGPCh. 3.7 - Prob. 5AGPCh. 3.7 - Prob. 5BGPCh. 3.7 - Prob. 1CYUCh. 3.7 - Prob. 2CYUCh. 3.7 - Prob. 3CYUCh. 3.7 - Prob. 4CYUCh. 3.7 - Prob. 5CYUCh. 3.7 - Prob. 6CYUCh. 3.7 - Prob. 7CYUCh. 3.7 - Prob. 8CYUCh. 3.7 - Prob. 9CYUCh. 3.7 - Prob. 10CYUCh. 3.7 - Prob. 11CYUCh. 3.7 - Prob. 12CYUCh. 3.7 - Prob. 13CYUCh. 3.7 - Prob. 14CYUCh. 3.7 - Prob. 15CYUCh. 3.7 - Prob. 16CYUCh. 3.7 - Prob. 17CYUCh. 3.7 - Prob. 18CYUCh. 3.7 - Prob. 19CYUCh. 3.7 - Prob. 20CYUCh. 3.7 - Prob. 21CYUCh. 3.7 - Prob. 22CYUCh. 3.7 - 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Prob. 42HPCh. 3.8 - Prob. 43STPCh. 3.8 - Prob. 44STPCh. 3.8 - Prob. 45STPCh. 3.8 - Prob. 46STPCh. 3.8 - Prob. 47SRCh. 3.8 - Prob. 48SRCh. 3.8 - Prob. 49SRCh. 3.8 - Prob. 50SRCh. 3.8 - Prob. 51SRCh. 3.8 - Prob. 52SRCh. 3.8 - Prob. 53SRCh. 3.8 - Prob. 54SCh. 3.8 - Prob. 55SCh. 3.8 - Prob. 56SCh. 3.8 - Prob. 1ECh. 3.8 - Prob. 2ECh. 3.8 - Prob. 3ECh. 3.8 - Prob. 4ECh. 3.8 - Prob. 5ECh. 3.8 - Prob. 6ECh. 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. 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. 31SGRCh. 3 - Prob. 32SGRCh. 3 - Prob. 33SGRCh. 3 - Prob. 34SGRCh. 3 - Prob. 35SGRCh. 3 - Prob. 36SGRCh. 3 - Prob. 37SGRCh. 3 - Prob. 38SGRCh. 3 - Prob. 39SGRCh. 3 - Prob. 40SGRCh. 3 - Prob. 41SGRCh. 3 - Prob. 42SGRCh. 3 - Prob. 43SGRCh. 3 - Prob. 44SGRCh. 3 - Prob. 45SGRCh. 3 - Prob. 46SGRCh. 3 - Prob. 47SGRCh. 3 - Prob. 48SGRCh. 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. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 1ECh. 3 - Prob. 2ECh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 7ECh. 3 - Prob. 8ECh. 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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