Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 3.3, Problem 65E

(a)

To determine

To find: The maximum weekly revenue.

(a)

Expert Solution

Answer to Problem 65E

$3600

Explanation of Solution

Given: The shop’s revenue can be modeled by y=(70−x)(50+x)

The model of weeklyrevenue of shop, y=(70−x)(50+x)

Using intercept form to find maximum revenue.

For x -intercept, set each factor to 0 and solve for x.

∴x=−50,70

The mid value of x -intercept attain maximum revenue.

∴Revenue maximum at x=70−502=10

ymax=(70−10)(50+10)=3600

(b)

To determine

To write:The function in vertex form and find maximum weekly revenue.

(b)

Expert Solution

Answer to Problem 65E

y=−(x−10)2+3600ymax=3600

Explanation of Solution

Given: The shop’s revenue can be modeled by y=(70−x)(50+x)

The given modeled of revenue, y=(70−x)(50+x)

Now change into vertex form like, y=a(x−h)2+k

y=(70−x)(50+x)y=−x2+20x+3500y=−(x2−20x)+3500 [Completing square]y=−(x−10)2+3600 [Vertex form]

Maximum weekly revenue at vertex x=10

ymax=−(10−10)2+3600=3600

(b)

To determine

To choose: The best method to find the maximum revenue.

(b)

Expert Solution

Answer to Problem 65E

Vertex form

Explanation of Solution

Given: The shop’s revenue can be modeled by y=(70−x)(50+x)

Using vertex form very easy to find the maximum. Because it given vertex directly and maximum of parabolic curve at vertex.

Chapter 3.3, Problem 64E

Chapter 3.3, Problem 66E

Chapter 3 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.1 - Prob. 52E Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60E Ch. 3.1 - 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