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Math Help - linear programming

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    linear programming


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    Quote Originally Posted by ndcruz View Post
    You are looking for pairs (x_1, x_2) which satisfy the given conditions. These pairs are represented by points which belong to the quadrilateral painted in grey (see attachment)

    The maximum of P will be obtained if the line

    x_2 = -2x_1 + P

    passes at least through one point of the quadrilateral such that the x_2-intercept is as great as possible. This happens if the line passes through the point Q(1, 4). Then P = 6.
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