Holt Mcdougal Larson Algebra 2: Student Edition 2012

1st Edition

ISBN: 9780547647159

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Expert Solution & Answer

Chapter 2.5, Problem 6MRPS

Solution

(a)

Write an expression for the company’s total revenue in terms of x .

The expression revenue in terms of x is given by 100x−10x3 .

Given:

The price p is given as p=100−10x2 , where x is the number in millions.

Calculation:

It has been given that p=100−10x2 .

Therefore, the revenue is given by

R=px=100−10x2x=100x−10x3

Hence, the expression revenue in terms of x is given by 100x−10x3 .

(b)

Write a function for the company’s profit P to make x cameras.

The profit function given by Px=−10x3+70x .

Given:

The price p is given as p=100−10x2 , where x is the number in millions.

Rx=100x−10x3

The cost of making one camera is $30.

Calculation:

It has been given that Rx=100x−10x3 .

Cost of making one camera is $30.

Hence, the cost of making x cameras is given by 30x .

Therefore, the profit function is given by

Px=Rx−Cx=100x−10x3−30x=−10x3+70x

(c)

Write and solve an equation to find a lesser number of cameras that the company could produce and still make the same profit.

The company could produce 1 million cameras to generate the same profit.

Given:

The profit function given by Px=−10x3+70x .

The company produces 2 million of cameras and generate a profit of $60,000,000.

Calculation:

It has been given that Px=−10x3+70x .

For the profit to be $60,000,000.

−10x3+70x=60

In order to find the values for x, graph the equations y=−10x3+70x,y=60 in the same coordinate axis and the positive value of x-coordinate of the intersection point will be the number of cameras that company will produce.

The positive x -value other than 2 is 1 .

So, the company could produce 1 million cameras to generate the same profit.

(d)

Do all the solutions in part c makes sense. Explain.

All these solutions don’t make sense. Only the positive values of x will give the number of cameras to generate a profit of $60,000,000.

Given:

The profit function given by Px=−10x3+70x .

The company produces 2 million of cameras and generate a profit of $60,000,000.

Calculation:

It has been given that Px=−10x3+70x .

For the profit to be $60,000,000.

−10x3+70x=60

In order to find the values for x, graph the equations y=−10x3+70x,y=60 in the same coordinate axis and the values of x-coordinate of the intersection points will be the number of cameras that company will produce.

From the graph, there are three solutions

x=1,x=2,x=−3 .

Hence, the solution x=−3 is not possible because the number of cameras cannot be negative.

Therefore, all these solutions don’t make sense. Only the positive values of x will give the number of cameras to generate a profit of $60,000,000.

Chapter 2.5, Problem 5MRPS

Chapter 2.5, Problem 7MRPS

Chapter 2 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 2.1 - Prob. 1GP Ch. 2.1 - Prob. 2GP Ch. 2.1 - Prob. 3GP Ch. 2.1 - Prob. 4GP Ch. 2.1 - Prob. 5GP Ch. 2.1 - Prob. 6GP Ch. 2.1 - Prob. 7GP Ch. 2.1 - Prob. 8GP Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E

Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49PS Ch. 2.1 - Prob. 50PS Ch. 2.1 - Prob. 51PS Ch. 2.1 - Prob. 52PS Ch. 2.1 - Prob. 53PS Ch. 2.1 - Prob. 54PS Ch. 2.1 - Prob. 1DC Ch. 2.1 - Prob. 2DC Ch. 2.1 - Prob. 3DC Ch. 2.1 - Prob. 4DC Ch. 2.1 - Prob. 5DC Ch. 2.1 - Prob. 6DC Ch. 2.2 - Prob. 1GP Ch. 2.2 - Prob. 2GP Ch. 2.2 - Prob. 3GP Ch. 2.2 - Prob. 4GP Ch. 2.2 - Prob. 5GP Ch. 2.2 - Prob. 6GP Ch. 2.2 - Prob. 7GP Ch. 2.2 - Prob. 8GP Ch. 2.2 - Prob. 9GP Ch. 2.2 - Prob. 10GP Ch. 2.2 - Prob. 11GP Ch. 2.2 - Prob. 12GP Ch. 2.2 - Prob. 1E Ch. 2.2 - Prob. 2E Ch. 2.2 - Prob. 3E Ch. 2.2 - Prob. 4E Ch. 2.2 - Prob. 5E Ch. 2.2 - Prob. 6E Ch. 2.2 - Prob. 7E Ch. 2.2 - Prob. 8E Ch. 2.2 - Prob. 9E Ch. 2.2 - Prob. 10E Ch. 2.2 - Prob. 11E Ch. 2.2 - Prob. 12E Ch. 2.2 - Prob. 13E Ch. 2.2 - Prob. 14E Ch. 2.2 - Prob. 15E Ch. 2.2 - Prob. 16E Ch. 2.2 - Prob. 17E Ch. 2.2 - Prob. 18E Ch. 2.2 - Prob. 19E Ch. 2.2 - Prob. 20E Ch. 2.2 - Prob. 21E Ch. 2.2 - Prob. 22E Ch. 2.2 - Prob. 23E Ch. 2.2 - Prob. 24E Ch. 2.2 - Prob. 25E Ch. 2.2 - Prob. 26E Ch. 2.2 - Prob. 27E Ch. 2.2 - Prob. 28E Ch. 2.2 - Prob. 29E Ch. 2.2 - Prob. 30E Ch. 2.2 - Prob. 31E Ch. 2.2 - 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Prob. 7E Ch. 2.3 - Prob. 8E Ch. 2.3 - Prob. 9E Ch. 2.3 - Prob. 10E Ch. 2.3 - Prob. 11E Ch. 2.3 - Prob. 12E Ch. 2.3 - Prob. 13E Ch. 2.3 - Prob. 14E Ch. 2.3 - Prob. 15E Ch. 2.3 - Prob. 16E Ch. 2.3 - Prob. 17E Ch. 2.3 - Prob. 18E Ch. 2.3 - Prob. 19E Ch. 2.3 - Prob. 20E Ch. 2.3 - Prob. 21E Ch. 2.3 - Prob. 22E Ch. 2.3 - Prob. 23E Ch. 2.3 - Prob. 24E Ch. 2.3 - Prob. 25E Ch. 2.3 - Prob. 26E Ch. 2.3 - Prob. 27E Ch. 2.3 - Prob. 28E Ch. 2.3 - Prob. 29E Ch. 2.3 - Prob. 30E Ch. 2.3 - Prob. 31E Ch. 2.3 - Prob. 32E Ch. 2.3 - Prob. 33E Ch. 2.3 - Prob. 34E Ch. 2.3 - Prob. 35E Ch. 2.3 - Prob. 36E Ch. 2.3 - Prob. 37E Ch. 2.3 - Prob. 38E Ch. 2.3 - Prob. 39E Ch. 2.3 - Prob. 40E Ch. 2.3 - Prob. 41E Ch. 2.3 - Prob. 42E Ch. 2.3 - Prob. 43E Ch. 2.3 - Prob. 44E Ch. 2.3 - Prob. 45E Ch. 2.3 - Prob. 46E Ch. 2.3 - Prob. 47E Ch. 2.3 - Prob. 48E Ch. 2.3 - Prob. 49E Ch. 2.3 - Prob. 50E Ch. 2.3 - Prob. 51E Ch. 2.3 - Prob. 52E Ch. 2.3 - Prob. 53E Ch. 2.3 - Prob. 54E Ch. 2.3 - Prob. 55E Ch. 2.3 - Prob. 56E Ch. 2.3 - Prob. 57E Ch. 2.3 - Prob. 58E Ch. 2.3 - Prob. 59PS Ch. 2.3 - Prob. 60PS Ch. 2.3 - Prob. 61PS Ch. 2.3 - Prob. 62PS Ch. 2.3 - Prob. 63PS Ch. 2.3 - Prob. 64PS Ch. 2.3 - Prob. 1Q Ch. 2.3 - Prob. 2Q Ch. 2.3 - Prob. 3Q Ch. 2.3 - Prob. 4Q Ch. 2.3 - Prob. 5Q Ch. 2.3 - Prob. 6Q Ch. 2.3 - Prob. 7Q Ch. 2.3 - Prob. 8Q Ch. 2.3 - Prob. 9Q Ch. 2.3 - Prob. 10Q Ch. 2.3 - Prob. 11Q Ch. 2.3 - Prob. 12Q Ch. 2.3 - Prob. 13Q Ch. 2.3 - Prob. 14Q Ch. 2.3 - Prob. 15Q Ch. 2.3 - Prob. 16Q Ch. 2.4 - Prob. 1GP Ch. 2.4 - Prob. 2GP Ch. 2.4 - Prob. 3GP Ch. 2.4 - Prob. 4GP Ch. 2.4 - Prob. 5GP Ch. 2.4 - Prob. 6GP Ch. 2.4 - Prob. 7GP Ch. 2.4 - Prob. 8GP Ch. 2.4 - Prob. 9GP Ch. 2.4 - Prob. 10GP Ch. 2.4 - Prob. 11GP Ch. 2.4 - Prob. 1E Ch. 2.4 - Prob. 2E Ch. 2.4 - Prob. 3E Ch. 2.4 - Prob. 4E Ch. 2.4 - Prob. 5E Ch. 2.4 - Prob. 6E Ch. 2.4 - Prob. 7E Ch. 2.4 - Prob. 8E Ch. 2.4 - Prob. 9E Ch. 2.4 - Prob. 10E Ch. 2.4 - Prob. 11E Ch. 2.4 - Prob. 12E Ch. 2.4 - Prob. 13E Ch. 2.4 - Prob. 14E Ch. 2.4 - Prob. 15E Ch. 2.4 - Prob. 16E Ch. 2.4 - Prob. 17E Ch. 2.4 - Prob. 18E Ch. 2.4 - Prob. 19E Ch. 2.4 - Prob. 20E Ch. 2.4 - Prob. 21E Ch. 2.4 - Prob. 22E Ch. 2.4 - Prob. 23E Ch. 2.4 - Prob. 24E Ch. 2.4 - Prob. 25E Ch. 2.4 - Prob. 26E Ch. 2.4 - Prob. 27E Ch. 2.4 - Prob. 28E Ch. 2.4 - Prob. 29E Ch. 2.4 - Prob. 30E Ch. 2.4 - Prob. 31E Ch. 2.4 - Prob. 32E Ch. 2.4 - Prob. 33E Ch. 2.4 - Prob. 34E Ch. 2.4 - Prob. 35E Ch. 2.4 - Prob. 36E Ch. 2.4 - Prob. 37E Ch. 2.4 - Prob. 38E Ch. 2.4 - Prob. 39E Ch. 2.4 - Prob. 40E Ch. 2.4 - Prob. 41E Ch. 2.4 - Prob. 42E Ch. 2.4 - Prob. 43E Ch. 2.4 - Prob. 44E Ch. 2.4 - Prob. 45E Ch. 2.4 - Prob. 46E Ch. 2.4 - Prob. 47E Ch. 2.4 - Prob. 48E Ch. 2.4 - Prob. 49E Ch. 2.4 - Prob. 50E Ch. 2.4 - Prob. 51E Ch. 2.4 - Prob. 52E Ch. 2.4 - Prob. 53E Ch. 2.4 - Prob. 54E Ch. 2.4 - Prob. 55E Ch. 2.4 - Prob. 56E Ch. 2.4 - Prob. 57E Ch. 2.4 - Prob. 58PS Ch. 2.4 - Prob. 59PS Ch. 2.4 - Prob. 60PS Ch. 2.4 - Prob. 61PS Ch. 2.4 - Prob. 62PS Ch. 2.4 - Prob. 63PS Ch. 2.4 - Prob. 64PS Ch. 2.4 - Prob. 65PS Ch. 2.4 - Prob. 1P Ch. 2.4 - Prob. 2P Ch. 2.4 - Prob. 3P Ch. 2.4 - Prob. 4P Ch. 2.4 - Prob. 5P Ch. 2.4 - Prob. 6P Ch. 2.4 - Prob. 7P Ch. 2.4 - Prob. 8P Ch. 2.4 - Prob. 9P Ch. 2.4 - Prob. 10P Ch. 2.5 - Prob. 1GP Ch. 2.5 - Prob. 2GP Ch. 2.5 - Prob. 3GP Ch. 2.5 - Prob. 4GP Ch. 2.5 - Prob. 5GP Ch. 2.5 - Prob. 6GP Ch. 2.5 - Prob. 7GP Ch. 2.5 - Prob. 8GP Ch. 2.5 - Prob. 9GP Ch. 2.5 - Prob. 1E Ch. 2.5 - Prob. 2E Ch. 2.5 - Prob. 3E Ch. 2.5 - Prob. 4E Ch. 2.5 - Prob. 5E Ch. 2.5 - Prob. 6E Ch. 2.5 - Prob. 7E Ch. 2.5 - Prob. 8E Ch. 2.5 - Prob. 9E Ch. 2.5 - Prob. 10E Ch. 2.5 - Prob. 11E Ch. 2.5 - Prob. 12E Ch. 2.5 - Prob. 13E Ch. 2.5 - Prob. 14E Ch. 2.5 - Prob. 15E Ch. 2.5 - Prob. 16E Ch. 2.5 - Prob. 17E Ch. 2.5 - Prob. 18E Ch. 2.5 - Prob. 19E Ch. 2.5 - Prob. 20E Ch. 2.5 - Prob. 21E Ch. 2.5 - Prob. 22E Ch. 2.5 - Prob. 23E Ch. 2.5 - Prob. 24E Ch. 2.5 - Prob. 25E Ch. 2.5 - Prob. 26E Ch. 2.5 - Prob. 27E Ch. 2.5 - Prob. 28E Ch. 2.5 - Prob. 29E Ch. 2.5 - Prob. 30E Ch. 2.5 - Prob. 31E Ch. 2.5 - Prob. 32E Ch. 2.5 - Prob. 33E Ch. 2.5 - Prob. 34E Ch. 2.5 - Prob. 35E Ch. 2.5 - Prob. 36E Ch. 2.5 - Prob. 37E Ch. 2.5 - Prob. 38E Ch. 2.5 - Prob. 39E Ch. 2.5 - Prob. 40E Ch. 2.5 - Prob. 41PS Ch. 2.5 - Prob. 42PS Ch. 2.5 - Prob. 43PS Ch. 2.5 - Prob. 44PS Ch. 2.5 - Prob. 45PS Ch. 2.5 - Prob. 46PS Ch. 2.5 - Prob. 1MRPS Ch. 2.5 - Prob. 2MRPS Ch. 2.5 - Prob. 3MRPS Ch. 2.5 - Prob. 4MRPS Ch. 2.5 - Prob. 5MRPS Ch. 2.5 - Prob. 6MRPS Ch. 2.5 - Prob. 7MRPS Ch. 2.6 - Prob. 1GP Ch. 2.6 - Prob. 2GP Ch. 2.6 - Prob. 3GP Ch. 2.6 - Prob. 4GP Ch. 2.6 - Prob. 5GP Ch. 2.6 - Prob. 6GP Ch. 2.6 - Prob. 7GP Ch. 2.6 - Prob. 1E Ch. 2.6 - Prob. 2E Ch. 2.6 - Prob. 3E Ch. 2.6 - Prob. 4E Ch. 2.6 - Prob. 5E Ch. 2.6 - Prob. 6E Ch. 2.6 - Prob. 7E Ch. 2.6 - Prob. 8E Ch. 2.6 - Prob. 9E Ch. 2.6 - Prob. 10E Ch. 2.6 - Prob. 11E Ch. 2.6 - Prob. 12E Ch. 2.6 - Prob. 13E Ch. 2.6 - Prob. 14E Ch. 2.6 - Prob. 15E Ch. 2.6 - Prob. 16E Ch. 2.6 - Prob. 17E Ch. 2.6 - Prob. 18E Ch. 2.6 - Prob. 19E Ch. 2.6 - Prob. 20E Ch. 2.6 - Prob. 21E Ch. 2.6 - Prob. 22E Ch. 2.6 - Prob. 23E Ch. 2.6 - Prob. 24E Ch. 2.6 - 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Prob. 8GP Ch. 2.7 - Prob. 9GP Ch. 2.7 - Prob. 10GP Ch. 2.7 - Prob. 11GP Ch. 2.7 - Prob. 12GP Ch. 2.7 - Prob. 1E Ch. 2.7 - Prob. 2E Ch. 2.7 - Prob. 3E Ch. 2.7 - Prob. 4E Ch. 2.7 - Prob. 5E Ch. 2.7 - Prob. 6E Ch. 2.7 - Prob. 7E Ch. 2.7 - Prob. 8E Ch. 2.7 - Prob. 9E Ch. 2.7 - Prob. 10E Ch. 2.7 - Prob. 11E Ch. 2.7 - Prob. 12E Ch. 2.7 - Prob. 13E Ch. 2.7 - Prob. 14E Ch. 2.7 - Prob. 15E Ch. 2.7 - Prob. 16E Ch. 2.7 - Prob. 17E Ch. 2.7 - Prob. 18E Ch. 2.7 - Prob. 19E Ch. 2.7 - Prob. 20E Ch. 2.7 - Prob. 21E Ch. 2.7 - Prob. 22E Ch. 2.7 - Prob. 23E Ch. 2.7 - Prob. 24E Ch. 2.7 - Prob. 25E Ch. 2.7 - Prob. 26E Ch. 2.7 - Prob. 27E Ch. 2.7 - Prob. 28E Ch. 2.7 - Prob. 29E Ch. 2.7 - Prob. 30E Ch. 2.7 - Prob. 31E Ch. 2.7 - Prob. 32E Ch. 2.7 - Prob. 33E Ch. 2.7 - Prob. 34E Ch. 2.7 - Prob. 35E Ch. 2.7 - Prob. 36E Ch. 2.7 - Prob. 37E Ch. 2.7 - Prob. 38E Ch. 2.7 - Prob. 39E Ch. 2.7 - Prob. 40E Ch. 2.7 - Prob. 41E Ch. 2.7 - Prob. 42E Ch. 2.7 - Prob. 43E Ch. 2.7 - Prob. 44E Ch. 2.7 - Prob. 45E Ch. 2.7 - Prob. 46E Ch. 2.7 - 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