The profit function of Company ABC for a specific product is given byy = x³ - 6x² +9x and 0≤x≤ 2.XxFurthermore, let x be the quantity in thousand units and y the profit in hundred thousand pesos. Determinethe quantity that gives the maximum profit.O x=1O x=1.5O x=1.25O x=2

Answered: Image /qna-images/answer/e9d96647-24ca-4c53-a429-777044db6173.jpg

Answered: The profit function of Company ABC for…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

max Z = 3x₁ + 2x₂ -X₁ + X₂ ≤4 3x₁ + 2x₂ ≤ 125 X₁ X₂ ≤3 X₁, X₂ ≥ 0
SOLVE STEP BY STEP IN DIGITAL FORMAT + * ☆ * 8.- The utility function of the Acrosonic Company is given by: P(x) = -0.02x² + 300x200 000 dollars, where x is the number of Acrosonic model F loudspeakers manufactured. Determine where the function P is increasing and where it is decreasing.
While comparing the sales of different brands of cement of the same quality, it is found that thevolume of sales is a function of the number of advertisements on hoardings (x1) and the number ofminutes of advertisement on television (x2), expressed byf=12*x1*x2-x1'2-3*x2'2Each advertisement on a hoarding or each minute of television time costs Rs. 1000. How should acement brand allocate Rs. 48,000 between the two advertising media so that its sales are maximized?
The percent of high school students who smoked cigarettes on 1 or more of the 30 days preceding the survey is given by y = -0.064x² +0.277x +33.715, where x is the number of years after 1990. During what years from 1990 on is the percent greater than 30%? From to the percent is greater than 30%. (Round up to the nearest year as needed.)
Prime Paints manufactures two types of paints, one for interior painting and the other for exterior painting. Both types require the use of two raw materials - M1 and M2, so that the maximum daily availabilities of these materials are 24 tons and 6 tons, respectively. It is known that 1 ton of the interior type of paint requires 4 tons of M1 and 2 tons of M2. On the other hand, 1 ton of the exterior type of paint requires 6 tons of M1 and 1 ton of M2. It has been established that the daily demand for interior paint cannot exceed that for the exterior paint by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons. The company wants to determine the optimum product mix of interior and exterior paints to maximize the total daily profit given that the profit per ton of the interior paint is 4 thousand dollars and the profit per ton of the exterior paint is 5 thousand dollars.

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

The profit function of Company ABC for a specific product is given by y = x² - 6x² + 9x and 0≤x≤ 2. Furthermore, let x be the quantity in thousand units and y the profit in hundred thousand pesos. Determine the quantity that gives the maximum profit. Ox=1 Ox=1.5 O x 1.25 x=2