This is my word problem. Thank you. The accounting department at Factory Shoe has determined that the quadratic relation P=-2x2+24x-54 models the company’s profit. In this equation, P represents the profit (in $100 000s) and x represents the number of pairs of shoes sold (in 100 000s). a. Write the equation in factored form. b. What are the zeros of the relation? What do they represent? c. Calculate the number of pairs of shoes that the company must sell to maximize its profit. How much would that maximum be?
This is my word problem. Thank you. The accounting department at Factory Shoe has determined that the quadratic relation P=-2x2+24x-54 models the company’s profit. In this equation, P represents the profit (in $100 000s) and x represents the number of pairs of shoes sold (in 100 000s). a. Write the equation in factored form. b. What are the zeros of the relation? What do they represent? c. Calculate the number of pairs of shoes that the company must sell to maximize its profit. How much would that maximum be?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.2: The Rectangular Coordinate System And Graphing Lines
Problem 102E: Crime prevention The number f(x) of incidents of family violence requiring police response appears...
Related questions
Question
100%
This is my word problem. Thank you.
The accounting department at Factory Shoe has determined that the quadratic relation P=-2x2+24x-54 models the company’s profit. In this equation, P represents the profit (in $100 000s) and x represents the number of pairs of shoes sold (in 100 000s).
a. Write the equation in factored form.
b. What are the zeros of the relation? What do they represent?
c. Calculate the number of pairs of shoes that the company must sell to maximize its profit. How much would that maximum be?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning