Homework Help is Here – Start Your Trial Now!
Math
Calculus
A power line is to be constructed from a power station at point A to an island at point C, which is 3 mi directly out in the water from a point B on the shore. Point B is 4 mi downshore from the power station at A. It costs $4950 per mile to lay the power line under water and $3000 per mile to lay the line under ground. At what point S downshore from A should the line come to the shore in order to minimize cost? Note that S could very well be B or A. (Hint: The length of CS is √9+x².) Sis miles from A. (Round to two decimal places as needed.)

A power line is to be constructed from a power station at point A to an island at point C, which is 3 mi directly out in the water from a point B on the shore. Point B is 4 mi downshore from the power station at A. It costs $4950 per mile to lay the power line under water and $3000 per mile to lay the line under ground. At what point S downshore from A should the line come to the shore in order to minimize cost? Note that S could very well be B or A. (Hint: The length of CS is √9+x².) Sis miles from A. (Round to two decimal places as needed.)

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 69PS
See similar textbooks
icon
Related questions
Question
A power line is to be constructed from a power station at point A to an island at point C, which is 3 mi directly out in the water from a point B on the shore. Point B is 4 mi downshore from the power station at A. It costs $4950 per mile to lay the power line under water and $3000 per mile to lay the line under ground. At what point S downshore from A should the line come to the shore in order to minimize cost? Note that could very well be B or A. (Hint: The length of CS is √9+x².) S is miles from A. (Round to two decimal places as needed.) C 4-x
Transcribed Image Text:A power line is to be constructed from a power station at point A to an island at point C, which is 3 mi directly out in the water from a point B on the shore. Point B is 4 mi downshore from the power station at A. It costs $4950 per mile to lay the power line under water and $3000 per mile to lay the line under ground. At what point S downshore from A should the line come to the shore in order to minimize cost? Note that could very well be B or A. (Hint: The length of CS is √9+x².) S is miles from A. (Round to two decimal places as needed.) C 4-x
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS