High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
Expert Solution & Answer
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Chapter 3, Problem 12CT
Solution

To Calculate: How many of each size pizza must be sold in order to maximize the profit if a pizza shop makes $1.50 on each small pizza and $2.15 on each large pizza. On a typical Friday it sells between 70 and 90 small pizzas and between 100 and 140 large pizzas. The shop can make no more than 210 pizzas in a day.

The shop should sell 70 small pizzas and 140 large pizzas to maximize the profit.

Given information:

A pizza shop makes $1.50 on each small pizza and $2.15 on each large pizza. On a typical Friday it sells between 70 and 90 small pizzas and between 100 and 140 large pizzas. The shop can make no more than 210 pizzas in a day.

Calculate:

Consider the given information.

Let x represents the number of small pizzas and y represents the number of large pizzas.

It is given that on Friday shop sells between 70 to 90 small pizzas.

  70≤x≤90

Also, on the same day shop sells between 100 and 140 large pizzas.

  100≤y≤140

The shop can make no more than 210 pizzas in a day.

  x+y≤210

And the profit is $1.50 on each small pizza and $2.15 on each large pizza.

  P=1.50x+2.15y

The required system of equation is:

  70≤x≤90100≤y≤140x+y≤210

  Objective function: P=1.50x+2.15y

Now draw the graph as shown below:

Shade the feasible region as shown below:

  High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11, Chapter 3, Problem 12CT

The vertices are A70,100,B90,100,C90,120 and D70,140 .

The Objective function: P=1.50x+2.15y .

Determine the value of P at each vertex.

    VertexP=1.50x+2.15y
    A70,100P=1.5070+2.15100=320
    B90,100P=1.5090+2.15100=350
    C90,120P=1.5090+2.15120=393
    D70,140P=1.5070+2.15140=406

The maximum will be 406 at 70,140 .

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Chapter 3, Problem 11CT
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Chapter 3, Problem 13CT

Chapter 3 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 3.1 - Prob. 1LCCh. 3.1 - Prob. 2LCCh. 3.1 - Prob. 3LCCh. 3.1 - Prob. 4LCCh. 3.1 - Prob. 5LCCh. 3.1 - Prob. 6LCCh. 3.1 - Prob. 7PPSECh. 3.1 - Prob. 8PPSECh. 3.1 - Prob. 9PPSECh. 3.1 - Prob. 10PPSE
Ch. 3.1 - Prob. 11PPSECh. 3.1 - Prob. 12PPSECh. 3.1 - Prob. 13PPSECh. 3.1 - Prob. 14PPSECh. 3.1 - Prob. 15PPSECh. 3.1 - Prob. 16PPSECh. 3.1 - Prob. 17PPSECh. 3.1 - Prob. 18PPSECh. 3.1 - Prob. 19PPSECh. 3.1 - Prob. 20PPSECh. 3.1 - Prob. 21PPSECh. 3.1 - Prob. 22PPSECh. 3.1 - Prob. 23PPSECh. 3.1 - Prob. 24PPSECh. 3.1 - Prob. 25PPSECh. 3.1 - Prob. 26PPSECh. 3.1 - Prob. 27PPSECh. 3.1 - Prob. 28PPSECh. 3.1 - Prob. 29PPSECh. 3.1 - Prob. 30PPSECh. 3.1 - Prob. 31PPSECh. 3.1 - Prob. 32PPSECh. 3.1 - Prob. 33PPSECh. 3.1 - Prob. 34PPSECh. 3.1 - Prob. 35PPSECh. 3.1 - Prob. 36PPSECh. 3.1 - Prob. 37PPSECh. 3.1 - Prob. 38PPSECh. 3.1 - Prob. 39PPSECh. 3.1 - Prob. 40PPSECh. 3.1 - Prob. 41PPSECh. 3.1 - Prob. 42PPSECh. 3.1 - Prob. 43PPSECh. 3.1 - Prob. 44PPSECh. 3.1 - Prob. 45PPSECh. 3.1 - Prob. 46PPSECh. 3.1 - Prob. 47PPSECh. 3.1 - Prob. 48PPSECh. 3.1 - Prob. 49PPSECh. 3.1 - Prob. 50PPSECh. 3.1 - Prob. 51PPSECh. 3.1 - Prob. 52PPSECh. 3.1 - Prob. 53PPSECh. 3.1 - Prob. 54PPSECh. 3.1 - Prob. 55PPSECh. 3.1 - 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Prob. 69PPSECh. 3.3 - Prob. 70PPSECh. 3.3 - Prob. 71PPSECh. 3.3 - Prob. 72PPSECh. 3.4 - Prob. 1LCCh. 3.4 - Prob. 2LCCh. 3.4 - Prob. 3LCCh. 3.4 - Prob. 4LCCh. 3.4 - Prob. 5LCCh. 3.4 - Prob. 6LCCh. 3.4 - Prob. 7LCCh. 3.4 - Prob. 8LCCh. 3.4 - Prob. 9LCCh. 3.4 - Prob. 10PPSECh. 3.4 - Prob. 11PPSECh. 3.4 - Prob. 12PPSECh. 3.4 - Prob. 13PPSECh. 3.4 - Prob. 14PPSECh. 3.4 - Prob. 15PPSECh. 3.4 - Prob. 16PPSECh. 3.4 - Prob. 17PPSECh. 3.4 - Prob. 18PPSECh. 3.4 - Prob. 19PPSECh. 3.4 - Prob. 20PPSECh. 3.4 - Prob. 21PPSECh. 3.4 - Prob. 22PPSECh. 3.4 - Prob. 23PPSECh. 3.4 - Prob. 24PPSECh. 3.4 - Prob. 25PPSECh. 3.4 - Prob. 26PPSECh. 3.4 - Prob. 27PPSECh. 3.4 - Prob. 28PPSECh. 3.4 - Prob. 29PPSECh. 3.4 - Prob. 30PPSECh. 3.4 - Prob. 31PPSECh. 3.4 - Prob. 32PPSECh. 3.4 - Prob. 33PPSECh. 3.4 - Prob. 34PPSECh. 3.4 - Prob. 35PPSECh. 3.4 - Prob. 36PPSECh. 3.4 - Prob. 37PPSECh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.5 - Prob. 1ACh. 3.5 - Prob. 2ACh. 3.5 - Prob. 3ACh. 3.5 - Prob. 4ACh. 3.5 - Prob. 5ACh. 3.5 - Prob. 6ACh. 3.5 - Prob. 7ACh. 3.5 - Prob. 8ACh. 3.5 - Prob. 9ACh. 3.5 - Prob. 10ACh. 3.5 - Prob. 11ACh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 1LCCh. 3.5 - Prob. 2LCCh. 3.5 - Prob. 3LCCh. 3.5 - Prob. 4LCCh. 3.5 - Prob. 5LCCh. 3.5 - Prob. 6LCCh. 3.5 - Prob. 7LCCh. 3.5 - Prob. 8LCCh. 3.5 - Prob. 9PPSECh. 3.5 - Prob. 10PPSECh. 3.5 - Prob. 11PPSECh. 3.5 - Prob. 12PPSECh. 3.5 - Prob. 13PPSECh. 3.5 - Prob. 14PPSECh. 3.5 - Prob. 15PPSECh. 3.5 - Prob. 16PPSECh. 3.5 - Prob. 17PPSECh. 3.5 - Prob. 18PPSECh. 3.5 - Prob. 19PPSECh. 3.5 - Prob. 20PPSECh. 3.5 - Prob. 21PPSECh. 3.5 - Prob. 22PPSECh. 3.5 - Prob. 23PPSECh. 3.5 - Prob. 24PPSECh. 3.5 - Prob. 25PPSECh. 3.5 - Prob. 26PPSECh. 3.5 - Prob. 27PPSECh. 3.5 - Prob. 28PPSECh. 3.5 - Prob. 29PPSECh. 3.5 - Prob. 30PPSECh. 3.5 - Prob. 31PPSECh. 3.5 - Prob. 32PPSECh. 3.5 - Prob. 33PPSECh. 3.5 - Prob. 34PPSECh. 3.5 - Prob. 35PPSECh. 3.5 - Prob. 36PPSECh. 3.5 - Prob. 37PPSECh. 3.5 - Prob. 38PPSECh. 3.5 - Prob. 39PPSECh. 3.5 - Prob. 40PPSECh. 3.5 - Prob. 41PPSECh. 3.5 - Prob. 42PPSECh. 3.5 - Prob. 43PPSECh. 3.5 - Prob. 44PPSECh. 3.5 - Prob. 45PPSECh. 3.6 - Prob. 1LCCh. 3.6 - Prob. 2LCCh. 3.6 - Prob. 3LCCh. 3.6 - Prob. 4LCCh. 3.6 - Prob. 5LCCh. 3.6 - Prob. 6LCCh. 3.6 - Prob. 7LCCh. 3.6 - Prob. 8PPSECh. 3.6 - Prob. 9PPSECh. 3.6 - Prob. 10PPSECh. 3.6 - Prob. 11PPSECh. 3.6 - Prob. 12PPSECh. 3.6 - Prob. 13PPSECh. 3.6 - Prob. 14PPSECh. 3.6 - Prob. 15PPSECh. 3.6 - Prob. 16PPSECh. 3.6 - Prob. 17PPSECh. 3.6 - Prob. 18PPSECh. 3.6 - Prob. 19PPSECh. 3.6 - Prob. 20PPSECh. 3.6 - Prob. 21PPSECh. 3.6 - Prob. 22PPSECh. 3.6 - Prob. 23PPSECh. 3.6 - Prob. 24PPSECh. 3.6 - Prob. 25PPSECh. 3.6 - Prob. 26PPSECh. 3.6 - Prob. 27PPSECh. 3.6 - Prob. 28PPSECh. 3.6 - Prob. 29PPSECh. 3.6 - Prob. 30PPSECh. 3.6 - Prob. 31PPSECh. 3.6 - Prob. 32PPSECh. 3.6 - Prob. 33PPSECh. 3.6 - Prob. 34PPSECh. 3.6 - Prob. 35PPSECh. 3.6 - Prob. 36PPSECh. 3.6 - Prob. 37PPSECh. 3.6 - Prob. 38PPSECh. 3.6 - Prob. 39PPSECh. 3.6 - Prob. 40PPSECh. 3.6 - Prob. 41PPSECh. 3.6 - Prob. 42PPSECh. 3.6 - Prob. 43PPSECh. 3.6 - Prob. 44PPSECh. 3.6 - Prob. 45PPSECh. 3.6 - Prob. 46PPSECh. 3.6 - Prob. 47PPSECh. 3.6 - Prob. 48PPSECh. 3.6 - Prob. 49PPSECh. 3.6 - Prob. 50PPSECh. 3.6 - Prob. 51PPSECh. 3.6 - Prob. 52PPSECh. 3.6 - Prob. 53PPSECh. 3.6 - Prob. 54PPSECh. 3.6 - Prob. 55PPSECh. 3.6 - Prob. 56PPSECh. 3.6 - Prob. 57PPSECh. 3.6 - Prob. 58PPSECh. 3 - Prob. 1GRCh. 3 - Prob. 2GRCh. 3 - Prob. 3GRCh. 3 - Prob. 4GRCh. 3 - Prob. 5GRCh. 3 - Prob. 6GRCh. 3 - Prob. 7GRCh. 3 - Prob. 8GRCh. 3 - Prob. 9GRCh. 3 - Prob. 10GRCh. 3 - Prob. 11GRCh. 3 - Prob. 12GRCh. 3 - Prob. 13GRCh. 3 - Prob. 14GRCh. 3 - Prob. 15GRCh. 3 - Prob. 16GRCh. 3 - Prob. 17GRCh. 3 - Prob. 18GRCh. 3 - Prob. 19GRCh. 3 - Prob. 20GRCh. 3 - Prob. 21GRCh. 3 - Prob. 22GRCh. 3 - Prob. 23GRCh. 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. 1CVCh. 3 - Prob. 2CVCh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 7ECh. 3 - Prob. 8ECh. 3 - Prob. 9ECh. 3 - Prob. 10ECh. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - Prob. 18ECh. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 30ECh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 1CCSRCh. 3 - Prob. 2CCSRCh. 3 - Prob. 3CCSRCh. 3 - Prob. 4CCSRCh. 3 - Prob. 5CCSRCh. 3 - Prob. 6CCSRCh. 3 - Prob. 7CCSRCh. 3 - Prob. 8CCSRCh. 3 - Prob. 9CCSRCh. 3 - Prob. 10CCSRCh. 3 - Prob. 11CCSRCh. 3 - Prob. 12CCSRCh. 3 - Prob. 13CCSRCh. 3 - Prob. 14CCSRCh. 3 - Prob. 15CCSRCh. 3 - Prob. 16CCSRCh. 3 - Prob. 17CCSRCh. 3 - Prob. 18CCSRCh. 3 - Prob. 19CCSRCh. 3 - Prob. 20CCSRCh. 3 - Prob. 21CCSRCh. 3 - Prob. 22CCSRCh. 3 - Prob. 23CCSR
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