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Math Help - Maximising a quadratic function (non-calculus).

  1. #1
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    Maximising a quadratic function (non-calculus).

    A strip of sheet metal 30 cm wide is to be made into a trough by turning strips up vertically along 2 sides.
    How many cm should be turned up at each side to obtain the greatest carrying capacity?

    Help pls

    Thanks in advance
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  2. #2
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    Quote Originally Posted by Sorena View Post
    A strip of sheet metal 30 cm wide is to be made into a trough by turning strips up vertically along 2 sides.
    How many cm should be turned up at each side to obtain the greatest carrying capacity?

    Help pls

    Thanks in advance
    max capacity will occur when the cross-sectional area (a rectangle) is a maximum.

    let x = length of metal to be turned up on both sides

    A = x(30-2x)
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  3. #3
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    thank you soo much
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