A solar power field is located on the south bank of a straight river that is 2 km wide. A power line is to be constructed from the solar field to an electric substation located on the north bank of the river 4 km east of the solar field. The cost of running the power line is $100,000/km overland and $200,000/km under the river. To minimize the cost of the power line, how much of the power line should be run overland?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...
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A solar power field is located on the south bank of a straight river that is 2 km wide. A power line is to be constructed from the solar field to an electric substation located on the north bank of the river 4 km east of the solar field. The cost of running the power line is $100,000/km overland and $200,000/km under the river. To minimize the cost of the power line, how much of the power line should be run overland?

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