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Land Lake 4 miles mile 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 e 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 ction, 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 (z) = 10,000/(4 – z)* +1+5,000z. Solve C" (z) = 0 and find the values of z where C' (z) changes sign from positive to negative. Evaluate C for those v of z to determine the minimum cost.

Land Lake 4 miles mile 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 e 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 ction, 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 (z) = 10,000/(4 – z)* +1+5,000z. Solve C" (z) = 0 and find the values of z where C' (z) changes sign from positive to negative. Evaluate C for those v of z to determine the minimum cost.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 64PPS
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Land Lake 4 miles i mile 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 (z) = 10,000/(4 – z) +1+5,000z. Solve C' (x) = 0and find the values of z where C' (z) changes sign from positive to negative. Evaluate C for those v く of z to determine the minimum cost. P Type here to search 31°F Cloudy へ 4 11:37 PM 1/23/2022
Transcribed Image Text:Land Lake 4 miles i mile 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 (z) = 10,000/(4 – z) +1+5,000z. Solve C' (x) = 0and find the values of z where C' (z) changes sign from positive to negative. Evaluate C for those v く of z to determine the minimum cost. P Type here to search 31°F Cloudy へ 4 11:37 PM 1/23/2022
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 (z) = 10,000/(4 – z)? +1+5,000z. Solve C' (z) = 0 and find the values of z where C" (z) changes sign from positive to negative. Evaluate C for those values of z to determine the minimum cost. Let C (z) = 10,000,/(4 – z)? +1+5,000z. Solve C' (z) = 0 and find the values of z where C' (z) changes sign from negative to positive. Evaluate C for those values of z to determine the minimum cost. Let C (z) = 10,000/z? +1+ 5,000z. Solve C' (z) = 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 (z) = 10,000/1² +1 +5,000z. Solve C' (z) = 0 and find the values of z where C' (z) changes sign from negative to positive. Evaluate C for those values of z to determine the minimum cost. 11:38 PM O Type here to search 31°F Cloudy ^ 中 1/23/2022 200
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 (z) = 10,000/(4 – z)? +1+5,000z. Solve C' (z) = 0 and find the values of z where C" (z) changes sign from positive to negative. Evaluate C for those values of z to determine the minimum cost. Let C (z) = 10,000,/(4 – z)? +1+5,000z. Solve C' (z) = 0 and find the values of z where C' (z) changes sign from negative to positive. Evaluate C for those values of z to determine the minimum cost. Let C (z) = 10,000/z? +1+ 5,000z. Solve C' (z) = 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 (z) = 10,000/1² +1 +5,000z. Solve C' (z) = 0 and find the values of z where C' (z) changes sign from negative to positive. Evaluate C for those values of z to determine the minimum cost. 11:38 PM O Type here to search 31°F Cloudy ^ 中 1/23/2022 200
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