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Calculus Volume 1 | 18th Edition | ISBN: 9781938168024 | Authors: Openstax ISBN: 9781938168024 2035

Solution for problem 332 Chapter 4.7

Calculus Volume 1 | 18th Edition

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Calculus Volume 1 | 18th Edition | ISBN: 9781938168024 | Authors: Openstax

Calculus Volume 1 | 18th Edition

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Problem 332

For the following exercises, consider a pizzeria that sell pizzas for a revenue of R(x) = ax and costs \(C(x)=b+c x+d x^{2}\) , where x represents the number of pizzas.

Find the profit function for the number of pizzas. How many pizzas gives the largest profit per pizza?

Text Transcription:

C(x)=b+cx+dx^2

Step-by-Step Solution:

March 21­25, 2016 Section 3.2 Suppose f’(x) >0 for all x on an open interval I. Suppose x < x i1 I. 2 en f(x) is continuous on [x1 x2] and it is differentiable on (x 1 x 2 2 x ¿ So by Mean Value Theorem there is c ¿ f( )1f ¿ ' ϵ ( 1x S2)hthen f (c)=¿ Which implies Thus f(x)< 0 is increasing on I. By similar arguments, we can show that f’(x)< 0 on an open interval f is decreasing on I. And if f’(x)=0 on an open interval I, then f(x) is constant on I. Theorem If f’(x)= g’(x) on an open interval I, then g(x)= f(x) + c for some constant c. 3 2 Sketch curve y= x ­3x + 7x­2 Step 1 Find Critical points ' 2 y =3x −6 x+7 2 (−6) −4 3 )7 )<0 No real roots y’ >0 for all real x So y is increasing 3 2 Find the root for y= x ­3x + 7x­2 Can we estimate the root Since y(0)= ­2 y(1)=3 The root is between 0 and I, not a rational root so we use technology to approximate. ‘ ‘ ‘ ‘ ‘ ‘ ‘ ¿3x−2 Domainis −∞,∞ ) y x +1 2 3 (x +1 − (x−2 2 )( ) y’(x)= 2 2 x +1 ) −3x +4x+3

Step 2 of 1

Chapter 4.7, Problem 332 is Solved
Textbook: Calculus Volume 1
Edition: 18
Author: Openstax
ISBN: 9781938168024

The full step-by-step solution to problem: 332 from chapter: 4.7 was answered by Aimee Notetaker, our top Calculus solution expert on 03/25/22, 03:16PM. The answer to “?For the following exercises, consider a pizzeria that sell pizzas for a revenue of R(x) = ax and costs \(C(x)=b+c x+d x^{2}\) , where x represents the number of pizzas. Find the profit function for the number of pizzas. How many pizzas gives the largest profit per pizza?Text Transcription:C(x)=b+cx+dx^2” is broken down into a number of easy to follow steps, and 49 words. This textbook survival guide was created for the textbook: Calculus Volume 1, edition: 18. Calculus Volume 1 was written by Aimee Notetaker and is associated to the ISBN: 9781938168024. This full solution covers the following key subjects: . This expansive textbook survival guide covers 51 chapters, and 2890 solutions. Since the solution to 332 from 4.7 chapter was answered, more than 204 students have viewed the full step-by-step answer.

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