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? asked in Science & MathematicsMathematics · 1 year ago

A freshwater pipeline is to be run from a source on land to a resort community on an island in the ocean 8 km off shore and 20 km down shore?

A freshwater pipeline is to be run from a source on land to a resort community on an island in the ocean 8 km off shore and 20 km down shore. It costs $60/m to lay the pipe over the land and $90/m to lay it under the ocean. For the given cost function: C(x) = 1,000[90/x2 +64 +60(20 - x)] Determine the value of the distance, x, that minimizes the cost if x € (0,20]

1 Answer

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  • alex
    Lv 7
    1 year ago

    Hint:

    solve dC/dx = 0 to minimize the cost

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