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3.5: Review Problems

  • Page ID
    1842
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    1. Maximize \(f(x,y)=2x+3y\) subject to the constraints
    $$
    x\geq0\, ,\quad y\geq0\, ,\quad x+2y\leq2\, ,\quad 2x+y\leq2\, ,
    $$
    by

    a) sketching the region in the \(xy\)-plane defined by the constraints and then checking the values of \(f\) at its corners; and,

    b) the simplex algorithm (\(\textit{Hint:}\) introduce slack variables).

    Contributor


    This page titled 3.5: Review Problems is shared under a not declared license and was authored, remixed, and/or curated by David Cherney, Tom Denton, & Andrew Waldron.