An electrical power station is located on the edge of a lake, as shown in the figure above. An electrical line needs to be connected from the station to an island in the lake that is located 4 miles due south and 1 mile due east of the station. It costs $5,000 per mile to install an electrical line on land and $10,000 per mile to install an electrical line underwater. If C represents a cost function, which of the following methods best explains how to determine the minimum cost, in dollars, for connecting the electrical line from the station to the island? Let C (x) = 10,000,/(4 – x)? +1+5,000x. Solve C' (x) = 0 and find the values of x where C' (x) changes sign from positive to negative. Evaluate C for those A values of z to determine the minimum cost. Let C (x) = 10,000/(4 – 2)? +1+5,000x. Solve C' (x) = 0 and find the values of r where C' (x) changes sign from negative to positive. Evaluate C for those B values of x to determine the minimum cost. Let C (x) = 10,000x2 +1+ 5,000x. Solve C' (x) = 0 and find the values of z where C' (x) changes sign from positive to negative. Evaluate C for those values of z to determine the minimum cost. Let C (x) = 10,000Vx2 +1+ 5,000x. Solve C' (x) = 0 and find the values of z where C' (x) changes sign from negative to positive. Evaluate C for those values of a to determine the minimum cost.
An electrical power station is located on the edge of a lake, as shown in the figure above. An electrical line needs to be connected from the station to an island in the lake that is located 4 miles due south and 1 mile due east of the station. It costs $5,000 per mile to install an electrical line on land and $10,000 per mile to install an electrical line underwater. If C represents a cost function, which of the following methods best explains how to determine the minimum cost, in dollars, for connecting the electrical line from the station to the island? Let C (x) = 10,000,/(4 – x)? +1+5,000x. Solve C' (x) = 0 and find the values of x where C' (x) changes sign from positive to negative. Evaluate C for those A values of z to determine the minimum cost. Let C (x) = 10,000/(4 – 2)? +1+5,000x. Solve C' (x) = 0 and find the values of r where C' (x) changes sign from negative to positive. Evaluate C for those B values of x to determine the minimum cost. Let C (x) = 10,000x2 +1+ 5,000x. Solve C' (x) = 0 and find the values of z where C' (x) changes sign from positive to negative. Evaluate C for those values of z to determine the minimum cost. Let C (x) = 10,000Vx2 +1+ 5,000x. Solve C' (x) = 0 and find the values of z where C' (x) changes sign from negative to positive. Evaluate C for those values of a to determine the minimum cost.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section: Chapter Questions
Problem 2CT
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Transcribed Image Text:An electrical power station is located on the edge of a lake, as shown in the figure above. An electrical line needs to be connected from the station to an island in the lake that is located 4
miles due south and 1 mile due east of the station. It costs $5,000 per mile to install an electrical line on land and $10,000 per mile to install an electrical line underwater. If C represents a
cost function, which of the following methods best explains how to determine the minimum cost, in dollars, for connecting the electrical line from the station to the island?
Let C (x) = 10,000/(4 – x)? +1+5,000x. Solve C' (x) = 0 and find the values of a where C' (x) changes sign from positive to negative. Evaluate C for those
values of x to determine the minimum cost.
Let C (x) = 10,000/(4 – x)? +1+5,000x. Solve C' (x) = 0 and find the values of x where C' (x) changes sign from negative to positive. Evaluate C for those
в
values of x to determine the minimum cost.
Let C (x) = 10,000V22 +1+ 5,000x. Solve C' (x) = 0 and find the values of z where C' (x) changes sign from positive to negative. Evaluate C for those values of
x to determine the minimum cost.
Let C (x) = 10,000 x2 +1+ 5,000x. Solve C' (x) = 0 and find the values of a where C' (x) changes sign from negative to positive. Evaluate C for those values of
x to determine the minimum cost.
Transcribed Image Text:Land
Lake
4 miles
1 mile
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