An oil refinery is located on the north shore of a river at point A in the diagram below. They wish to lay a pipe to move their refined product to the railway yard, located on the south shore at point D, to get the oil to market. The river is 550 m wide (so the distance from point A to point B is 550 m), and the railway yard is 1340 m downriver (so the distance from point B to point D is 1340 m). It costs $1400 per m to lay pipe underwater, and $1000 per m to lay pipe over land. At what point C on the south shore of the river should they aim the underwater pipe in order to minimize the cost of the piping? Give your answer as the distance from point B. A river B C To solve this problem, you will apply the Closed Interval Method. The objective function, the function you want to minimize, is the cost. If we let x be the distance from point B to point C, then C(x) = D
An oil refinery is located on the north shore of a river at point A in the diagram below. They wish to lay a pipe to move their refined product to the railway yard, located on the south shore at point D, to get the oil to market. The river is 550 m wide (so the distance from point A to point B is 550 m), and the railway yard is 1340 m downriver (so the distance from point B to point D is 1340 m). It costs $1400 per m to lay pipe underwater, and $1000 per m to lay pipe over land. At what point C on the south shore of the river should they aim the underwater pipe in order to minimize the cost of the piping? Give your answer as the distance from point B. A river B C To solve this problem, you will apply the Closed Interval Method. The objective function, the function you want to minimize, is the cost. If we let x be the distance from point B to point C, then C(x) = D
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.4: The Trapezoid
Problem 24E: The state of Nevada approximates the shape of a trapezoid with these dimensions for boundaries: 340...
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