Explanation Given: The given table is Calculation: Let the number of necklaces be x And the number of keychains be y Therefore, as per the question, the following inequalities can be formed- 0.5 x + 0.25 y ≤ 20 2 x + 2 y ≤ 120 x ≥ 0 y ≥ 0 The following is the graph- To determine To find the vertices of the graph of the system. Answer ( 0 , 0 ) , ( 0 , 40 ) , ( 40 , 0 ) , ( 30 , 20 ) Explanation Given: The given table is Calculation: From the graph the vertices are- ( 0 , 0 ) , ( 0 , 40 ) , ( 40 , 0 ) , ( 30 , 20 ) To determine To find the revenue corresponding to the ordered pair in part (b). Answer ( 30 , 20 ) . Explanation Given: The revenue R is given by the equation- R = 10 x + 8 y Calculation: Using the vertices the following Revenue is obtained- R = 10 x + 8 y ( 0 , 0 ) : R = 10 ( 0 ) + 8 ( 0 ) = 0 ( 0 , 40 ) : R = 10 ( 0 ) + 8 ( 40 ) = 320 ( 40 , 0 ) : R = 10 ( 40 ) + 8 ( 0 ) = 400 ( 30 , 20 ) : R = 10 ( 30 ) + 8 ( 20 ) = 460 The vertex that gives the maximum revenue is ( 30 , 20 )

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 5.7, Problem 48E

To determine

To write and graph the inequality that represents the situation.

Expert Solution

Explanation of Solution

Given:

The given table is

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 5.7, Problem 48E , additional homework tip 1

Calculation:

Let the number of necklaces be x

And the number of keychains be y

Therefore, as per the question, the following inequalities can be formed-

0.5x+0.25y≤202x+2y≤120x≥0y≥0

The following is the graph-

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 5.7, Problem 48E , additional homework tip 2

To determine

To find the vertices of the graph of the system.

Expert Solution

Answer to Problem 48E

(0,0),(0,40),(40,0),(30,20)

Explanation of Solution

Given:

The given table is

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 5.7, Problem 48E , additional homework tip 3

Calculation:

From the graph the vertices are-

(0,0),(0,40),(40,0),(30,20)

To determine

To find the revenue corresponding to the ordered pair in part (b).

Expert Solution

Answer to Problem 48E

(30,20) .

Explanation of Solution

Given:

The revenue R is given by the equation- R=10x+8y

Calculation:

Using the vertices the following Revenue is obtained-

R=10x+8y(0,0):R=10(0)+8(0)=0(0,40):R=10(0)+8(40)=320(40,0):R=10(40)+8(0)=400(30,20):R=10(30)+8(20)=460

The vertex that gives the maximum revenue is (30,20)

Chapter 5.7, Problem 47E

Chapter 5.7, Problem 49E

Chapter 5 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

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