Homework Help is Here – Start Your Trial Now!
Math
Calculus
An island is 12 mi from the nearest point on a straight shoreline; that point is 15 mi from a power station (see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that is costs $2400/mi to lay cable underwater and $1200/mi to lay underground cable. At what point should the underwater cable meet the shore to minimize the cost of the project? Write an equation for the total cost, C, as a function of x, where x is the distance from the shoreline closest to the island and the point where the cable leaves the shore. (Type an expression.) Island The interval of interest of the objective function is. Cable (Simplify your answer. Type your answer in interval notation.) 12 mi The cost is minimized when x is mi. Power Station (Type an exact answer.) 15 mi The minimum installation cost is $ (Round to the nearest cent as needed.)

An island is 12 mi from the nearest point on a straight shoreline; that point is 15 mi from a power station (see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that is costs $2400/mi to lay cable underwater and $1200/mi to lay underground cable. At what point should the underwater cable meet the shore to minimize the cost of the project? Write an equation for the total cost, C, as a function of x, where x is the distance from the shoreline closest to the island and the point where the cable leaves the shore. (Type an expression.) Island The interval of interest of the objective function is. Cable (Simplify your answer. Type your answer in interval notation.) 12 mi The cost is minimized when x is mi. Power Station (Type an exact answer.) 15 mi The minimum installation cost is $ (Round to the nearest cent as needed.)

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
See similar textbooks
icon
Related questions
Question
An island is 12 mi from the nearest point on a straight shoreline; that point is 15 mi from a power station (see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that is costs $2400/mi to lay cable underwater and $1200/mi to lay underground cable. At what point should the underwater cable meet the shore to minimize the cost of the project? Write an equation for the total cost, C, as a function of x, where x is the distance from the shoreline closest to the island and the point where the cable leaves the shore. C = (Type an expression.) Island The interval of interest of the objective function is Cable (Simplify your answer. Type your answer in interval notation.) 12 mi The cost is minimized when x is mi. Power Station (Type an exact answer.) 15 mi The minimum installation cost is $ (Round to the nearest cent as needed.)
Transcribed Image Text:An island is 12 mi from the nearest point on a straight shoreline; that point is 15 mi from a power station (see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that is costs $2400/mi to lay cable underwater and $1200/mi to lay underground cable. At what point should the underwater cable meet the shore to minimize the cost of the project? Write an equation for the total cost, C, as a function of x, where x is the distance from the shoreline closest to the island and the point where the cable leaves the shore. C = (Type an expression.) Island The interval of interest of the objective function is Cable (Simplify your answer. Type your answer in interval notation.) 12 mi The cost is minimized when x is mi. Power Station (Type an exact answer.) 15 mi The minimum installation cost is $ (Round to the nearest cent as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
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,
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
SEE MORE TEXTBOOKS