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Math Help - [SOLVED] Poster Optimization Problem

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    [SOLVED] Poster Optimization Problem

    The top and bottom margins of a poster are 2 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 square centimeters, find the dimensions of the poster with the smallest area.
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    Quote Originally Posted by biermann33 View Post
    The top and bottom margins of a poster are 2 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 square centimeters, find the dimensions of the poster with the smallest area.
    let x = printed area width

    y = printed area length

    xy = 384

    x = \frac{384}{y}

    poster width = x+8

    poster length = y+4

    A = (x+8)(y+4)

    A = \left(\frac{384}{y} + 8\right)(y+4)

    find \frac{dA}{dy} and optimize
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