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An engineer is designing a pipeline which is supposed to connect two points P and S The engineer decide to do it in three sections

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An engineer is designing a pipeline which is supposed to connect two points P and S The engineer decide to do it in three sections The first section runs from point P to point Q and costs 50 a mile to lay the second section runs from point Q to point R and costs 48 mile the third runs from point R to point S ane costs 44 a mile Looking at the diagram below you see that if you know the lengths marked x and y ther you know the positions of Q and R Find the values of x and y which minimize the cost of the pipeline P 2 Miles X y 1 Mile R 10 miles miles miles S

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