14) A power line is to be installed across a river that is 1 mile wide to a town that is 5 miles downstream from the power source on the other side of the river. (See diagram below.) It costs $7000...

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14) A power line is to be installed across a river that is 1 mile wide to a town that is 5 miles downstream from the power source on the other side of the river. (See diagram below.) It costs $7000 per mile to lay the cable underground and $9000 per mile to lay it underwater. Determine the distance in miles x the cable should run underground along the river from the power source and then be run underwater diagonally to the town if a total of $45,000 has been allocated and will be totally used for this project. (Show all work to justify your answer(s) for x and round your final answer(s) to two digits behind the decimal point and remember 0 5 x 5 5 miles. This is a lengthy problem so you can finish it on the next page.)


Answered Same DayDec 27, 2021

Answer To: 14) A power line is to be installed across a river that is 1 mile wide to a town that is 5 miles...

David answered on Dec 27 2021
123 Votes
Let the distance underground = x miles
The total cost of wire underground = x*7000
Thus total di
stance of wire under water = sqrt( (5-x)^2 + 1^2 )
The total cost of wire underwater = sqrt( (5-x)^2 + 1^2 ) * 9000
Total cost = 45000
45000 = sqrt( (5-x)^2 + 1^2 ) * 9000 + x*7000
(45 – 7x)^2...
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