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    PROBLEM

    • Given the ellipse (X/2)2 + Y2 = 4, itis desired to find the rectangle of

    greatest area which will fit inside

    the ellipse.

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    Y

    rea of the rando! "ectangle which will fit inside the ellipse

    = 4#$

    X

    (#,$)

    4%4

    2

    %2%%

    %%

    &

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    MODELLING THE PROBLEM

    BY EXCEL SOLVER 

    '*-* 01-'1 () = 4XY

    '1"-1 (g) = (X/2)2+Y2% 4 3 &

    "-* () = X , Y

    (5a#i!i6e)

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    Answer Report

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    Sensityvity Report

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    Liits Report

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    5a#i!7! rea = 89

    • :hen

      X = 2 2

      Y = 2

    Y

    X

    (#,$)

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