Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
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In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Question
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Chapter 7.1, Problem 36PPS

a.

To determine

The value of profit function.

a.

Expert Solution
Check Mark

Answer to Problem 36PPS

Profit function p(x)=5.75x−1850 .

Explanation of Solution

Given:

The revenue r(x) from the sale of (x) coffee mugs is given by r(x)=6.5x and the function for the cost of manufacturing (x) coffee mugs is c(x)=0.75x+1850 .

Calculation: It is given that,

Revenue function r(x)=6.5x

Cost function c(x)=0.75x+1850

Therefore the profit function p(x) is evaluated as,

  p(x)=r(x)−c(x)=(6.5x)−(0.75x+1850)=5.75x−1850......(1)

b.

To determine

The value of profit for 500, 1000 and 5000 coffee mugs.

b.

Expert Solution
Check Mark

Answer to Problem 36PPS

The profit for 500, 1000 and 5000 coffee mugs is 1025, 3900 and 26900 respectively.

Explanation of Solution

Given:

The revenue r(x) from the sale of (x) coffee mugs is given by r(x)=6.5x and the function for the cost of manufacturing (x) coffee mugs is c(x)=0.75x+1850 .

Calculation: From (1) the profit function p(x)=5.75x−1850 . The profit for 500, 1000 and 5000 coffee mugs can be evaluated by plugging (x=500,1000 and 5000) in profit function. Therefore from (1),

  p(500)=5.75(500)−1850=1025p(1000)=5.75(1000)−1850=3900p(5000)=5.75(5000)−1850=26900

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Chapter 7.1, Problem 35PPS
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Chapter 7.1, Problem 37PPS

Chapter 7 Solutions

Algebra 2

Ch. 7.1 - Prob. 1ACYPCh. 7.1 - Prob. 1BCYPCh. 7.1 - Prob. 2ACYPCh. 7.1 - Prob. 2BCYPCh. 7.1 - Prob. 3ACYPCh. 7.1 - Prob. 3BCYPCh. 7.1 - Prob. 4CYPCh. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYU
Ch. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8PPSCh. 7.1 - Prob. 9PPSCh. 7.1 - Prob. 10PPSCh. 7.1 - Prob. 11PPSCh. 7.1 - Prob. 12PPSCh. 7.1 - Prob. 13PPSCh. 7.1 - Prob. 14PPSCh. 7.1 - Prob. 15PPSCh. 7.1 - Prob. 16PPSCh. 7.1 - Prob. 17PPSCh. 7.1 - Prob. 18PPSCh. 7.1 - Prob. 19PPSCh. 7.1 - Prob. 20PPSCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - Prob. 40PPSCh. 7.1 - Prob. 41PPSCh. 7.1 - Prob. 42PPSCh. 7.1 - Prob. 43PPSCh. 7.1 - Prob. 44PPSCh. 7.1 - Prob. 45PPSCh. 7.1 - Prob. 46PPSCh. 7.1 - Prob. 47PPSCh. 7.1 - Prob. 48PPSCh. 7.1 - Prob. 49PPSCh. 7.1 - Prob. 50PPSCh. 7.1 - Prob. 51PPSCh. 7.1 - 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Prob. 1ACYPCh. 7.4 - Prob. 1BCYPCh. 7.4 - Prob. 2ACYPCh. 7.4 - Prob. 2BCYPCh. 7.4 - Prob. 3ACYPCh. 7.4 - Prob. 3BCYPCh. 7.4 - Prob. 1CYUCh. 7.4 - Prob. 2CYUCh. 7.4 - Prob. 3CYUCh. 7.4 - Prob. 4CYUCh. 7.4 - Prob. 5CYUCh. 7.4 - Prob. 6CYUCh. 7.4 - Prob. 7CYUCh. 7.4 - Prob. 8CYUCh. 7.4 - Prob. 9CYUCh. 7.4 - Prob. 10CYUCh. 7.4 - Prob. 11CYUCh. 7.4 - Prob. 12PPSCh. 7.4 - Prob. 13PPSCh. 7.4 - Prob. 14PPSCh. 7.4 - Prob. 15PPSCh. 7.4 - Prob. 16PPSCh. 7.4 - Prob. 17PPSCh. 7.4 - Prob. 18PPSCh. 7.4 - Prob. 19PPSCh. 7.4 - Prob. 20PPSCh. 7.4 - Prob. 21PPSCh. 7.4 - Prob. 22PPSCh. 7.4 - Prob. 23PPSCh. 7.4 - Prob. 24PPSCh. 7.4 - Prob. 25PPSCh. 7.4 - Prob. 26PPSCh. 7.4 - Prob. 27PPSCh. 7.4 - Prob. 28PPSCh. 7.4 - Prob. 29PPSCh. 7.4 - Prob. 30PPSCh. 7.4 - Prob. 31PPSCh. 7.4 - Prob. 32PPSCh. 7.4 - Prob. 33PPSCh. 7.4 - Prob. 34PPSCh. 7.4 - Prob. 35PPSCh. 7.4 - Prob. 36PPSCh. 7.4 - Prob. 37PPSCh. 7.4 - Prob. 38PPSCh. 7.4 - Prob. 39PPSCh. 7.4 - Prob. 40PPSCh. 7.4 - Prob. 41PPSCh. 7.4 - Prob. 42PPSCh. 7.4 - Prob. 43PPSCh. 7.4 - 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Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.5 - Prob. 1ACYPCh. 7.5 - Prob. 1BCYPCh. 7.5 - Prob. 2ACYPCh. 7.5 - Prob. 2BCYPCh. 7.5 - Prob. 3ACYPCh. 7.5 - Prob. 3BCYPCh. 7.5 - Prob. 4ACYPCh. 7.5 - Prob. 4BCYPCh. 7.5 - Prob. 5ACYPCh. 7.5 - Prob. 5BCYPCh. 7.5 - Prob. 6CYPCh. 7.5 - Prob. 1CYUCh. 7.5 - Prob. 2CYUCh. 7.5 - Prob. 3CYUCh. 7.5 - Prob. 4CYUCh. 7.5 - Prob. 5CYUCh. 7.5 - Prob. 6CYUCh. 7.5 - Prob. 7CYUCh. 7.5 - Prob. 8CYUCh. 7.5 - Prob. 9CYUCh. 7.5 - Prob. 10CYUCh. 7.5 - Prob. 11CYUCh. 7.5 - Prob. 12CYUCh. 7.5 - Prob. 13CYUCh. 7.5 - Prob. 14CYUCh. 7.5 - Prob. 15CYUCh. 7.5 - Prob. 16CYUCh. 7.5 - Prob. 17CYUCh. 7.5 - Prob. 18PPSCh. 7.5 - Prob. 19PPSCh. 7.5 - Prob. 20PPSCh. 7.5 - Prob. 21PPSCh. 7.5 - Prob. 22PPSCh. 7.5 - Prob. 23PPSCh. 7.5 - Prob. 24PPSCh. 7.5 - Prob. 25PPSCh. 7.5 - Prob. 26PPSCh. 7.5 - Prob. 27PPSCh. 7.5 - Prob. 28PPSCh. 7.5 - Prob. 29PPSCh. 7.5 - Prob. 30PPSCh. 7.5 - Prob. 31PPSCh. 7.5 - 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Prob. 78STPCh. 7.6 - Prob. 79STPCh. 7.6 - Prob. 80STPCh. 7.6 - Prob. 81STPCh. 7.6 - Prob. 82STPCh. 7.6 - Prob. 83STPCh. 7.6 - Prob. 84STPCh. 7.6 - Prob. 85STPCh. 7.6 - Prob. 86STPCh. 7.6 - Prob. 87STPCh. 7.6 - Prob. 88STPCh. 7.6 - Prob. 89STPCh. 7.6 - Prob. 90STPCh. 7.6 - Prob. 91STPCh. 7.6 - Prob. 92SCh. 7.6 - Prob. 93SCh. 7.6 - Prob. 94SCh. 7.6 - Prob. 95SCh. 7.6 - Prob. 96SCh. 7.6 - Prob. 97SCh. 7.7 - Prob. 1ACYPCh. 7.7 - Prob. 1BCYPCh. 7.7 - Prob. 2ACYPCh. 7.7 - Prob. 2BCYPCh. 7.7 - Prob. 3CYPCh. 7.7 - Prob. 4ACYPCh. 7.7 - Prob. 4BCYPCh. 7.7 - Prob. 1CYUCh. 7.7 - Prob. 2CYUCh. 7.7 - Prob. 3CYUCh. 7.7 - Prob. 4CYUCh. 7.7 - Prob. 5CYUCh. 7.7 - Prob. 6CYUCh. 7.7 - Prob. 7CYUCh. 7.7 - Prob. 8CYUCh. 7.7 - Prob. 9CYUCh. 7.7 - Prob. 10CYUCh. 7.7 - Prob. 11CYUCh. 7.7 - Prob. 12CYUCh. 7.7 - Prob. 13CYUCh. 7.7 - Prob. 14CYUCh. 7.7 - Prob. 15CYUCh. 7.7 - Prob. 16CYUCh. 7.7 - Prob. 17CYUCh. 7.7 - Prob. 18CYUCh. 7.7 - Prob. 19CYUCh. 7.7 - Prob. 20CYUCh. 7.7 - Prob. 21CYUCh. 7.7 - Prob. 22CYUCh. 7.7 - Prob. 23PPSCh. 7.7 - Prob. 24PPSCh. 7.7 - Prob. 25PPSCh. 7.7 - Prob. 26PPSCh. 7.7 - Prob. 27PPSCh. 7.7 - Prob. 28PPSCh. 7.7 - Prob. 29PPSCh. 7.7 - Prob. 30PPSCh. 7.7 - Prob. 31PPSCh. 7.7 - Prob. 32PPSCh. 7.7 - Prob. 33PPSCh. 7.7 - Prob. 34PPSCh. 7.7 - Prob. 35PPSCh. 7.7 - Prob. 36PPSCh. 7.7 - Prob. 37PPSCh. 7.7 - Prob. 38PPSCh. 7.7 - Prob. 39PPSCh. 7.7 - Prob. 40PPSCh. 7.7 - Prob. 41PPSCh. 7.7 - Prob. 42PPSCh. 7.7 - Prob. 43PPSCh. 7.7 - Prob. 44PPSCh. 7.7 - Prob. 45PPSCh. 7.7 - Prob. 46PPSCh. 7.7 - Prob. 47PPSCh. 7.7 - Prob. 48PPSCh. 7.7 - Prob. 49PPSCh. 7.7 - Prob. 50PPSCh. 7.7 - Prob. 51PPSCh. 7.7 - Prob. 52PPSCh. 7.7 - Prob. 53PPSCh. 7.7 - Prob. 54PPSCh. 7.7 - Prob. 55PPSCh. 7.7 - Prob. 56PPSCh. 7.7 - Prob. 57PPSCh. 7.7 - Prob. 58PPSCh. 7.7 - Prob. 59PPSCh. 7.7 - Prob. 60PPSCh. 7.7 - Prob. 61PPSCh. 7.7 - Prob. 62PPSCh. 7.7 - Prob. 63PPSCh. 7.7 - Prob. 64PPSCh. 7.7 - Prob. 65PPSCh. 7.7 - Prob. 66PPSCh. 7.7 - Prob. 67HPCh. 7.7 - Prob. 68HPCh. 7.7 - Prob. 69HPCh. 7.7 - Prob. 70HPCh. 7.7 - Prob. 71HPCh. 7.7 - Prob. 72HPCh. 7.7 - Prob. 73HPCh. 7.7 - Prob. 74HPCh. 7.7 - Prob. 75HPCh. 7.7 - Prob. 76HPCh. 7.7 - Prob. 77HPCh. 7.7 - Prob. 78HPCh. 7.7 - Prob. 79HPCh. 7.7 - Prob. 80STPCh. 7.7 - Prob. 81STPCh. 7.7 - Prob. 82STPCh. 7.7 - Prob. 83STPCh. 7.7 - Prob. 84STPCh. 7.7 - Prob. 85STPCh. 7.7 - Prob. 86STPCh. 7.7 - Prob. 87STPCh. 7.7 - Prob. 88STPCh. 7.7 - Prob. 89STPCh. 7.7 - Prob. 90STPCh. 7.7 - Prob. 91SCh. 7.7 - Prob. 92SCh. 7.7 - Prob. 93SCh. 7.7 - Prob. 94SCh. 7.7 - Prob. 95SCh. 7.7 - Prob. 96SCh. 7.7 - Prob. 97SCh. 7.7 - Prob. 98SCh. 7.7 - Prob. 1ECh. 7.7 - Prob. 2ECh. 7.7 - Prob. 3ECh. 7.7 - Prob. 4ECh. 7.7 - Prob. 5ECh. 7.7 - Prob. 6ECh. 7.7 - Prob. 7ECh. 7.7 - Prob. 8ECh. 7.7 - Prob. 9ECh. 7.7 - Prob. 10ECh. 7 - Prob. 1QCCh. 7 - Prob. 2QCCh. 7 - Prob. 3QCCh. 7 - Prob. 4QCCh. 7 - Prob. 5QCCh. 7 - Prob. 6QCCh. 7 - Prob. 7QCCh. 7 - Prob. 8QCCh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 28MCQCh. 7 - Prob. 29MCQCh. 7 - Prob. 30MCQCh. 7 - Prob. 31MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 11SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 36SGRCh. 7 - Prob. 37SGRCh. 7 - Prob. 38SGRCh. 7 - Prob. 39SGRCh. 7 - Prob. 40SGRCh. 7 - Prob. 41SGRCh. 7 - Prob. 42SGRCh. 7 - Prob. 43SGRCh. 7 - Prob. 44SGRCh. 7 - Prob. 45SGRCh. 7 - Prob. 46SGRCh. 7 - Prob. 47SGRCh. 7 - Prob. 48SGRCh. 7 - Prob. 49SGRCh. 7 - Prob. 50SGRCh. 7 - Prob. 51SGRCh. 7 - Prob. 52SGRCh. 7 - Prob. 53SGRCh. 7 - Prob. 54SGRCh. 7 - Prob. 55SGRCh. 7 - Prob. 56SGRCh. 7 - Prob. 57SGRCh. 7 - Prob. 58SGRCh. 7 - Prob. 59SGRCh. 7 - Prob. 60SGRCh. 7 - Prob. 61SGRCh. 7 - Prob. 62SGRCh. 7 - Prob. 63SGRCh. 7 - Prob. 64SGRCh. 7 - Prob. 65SGRCh. 7 - Prob. 66SGRCh. 7 - Prob. 67SGRCh. 7 - Prob. 68SGRCh. 7 - Prob. 69SGRCh. 7 - Prob. 70SGRCh. 7 - Prob. 71SGRCh. 7 - Prob. 72SGRCh. 7 - Prob. 73SGRCh. 7 - Prob. 74SGRCh. 7 - Prob. 75SGRCh. 7 - Prob. 76SGRCh. 7 - Prob. 77SGRCh. 7 - Prob. 78SGRCh. 7 - Prob. 79SGRCh. 7 - Prob. 80SGRCh. 7 - Prob. 81SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 22PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 25PTCh. 7 - Prob. 26PTCh. 7 - Prob. 27PTCh. 7 - Prob. 28PTCh. 7 - Prob. 29PTCh. 7 - Prob. 30PTCh. 7 - Prob. 31PTCh. 7 - Prob. 32PTCh. 7 - Prob. 33PTCh. 7 - Prob. 34PTCh. 7 - Prob. 35PTCh. 7 - Prob. 36PTCh. 7 - Prob. 37PTCh. 7 - Prob. 38PTCh. 7 - Prob. 39PTCh. 7 - Prob. 40PTCh. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3ECh. 7 - Prob. 1STPCh. 7 - Prob. 2STPCh. 7 - Prob. 3STPCh. 7 - Prob. 4STPCh. 7 - Prob. 5STPCh. 7 - Prob. 6STPCh. 7 - Prob. 7STPCh. 7 - Prob. 8STPCh. 7 - Prob. 9STPCh. 7 - Prob. 10STPCh. 7 - Prob. 11STPCh. 7 - Prob. 12STPCh. 7 - Prob. 13STPCh. 7 - Prob. 14STPCh. 7 - Prob. 15STP

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