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17 April, 00:16

Find the maximum value of x+y given that

x>=-3

y>=5x-9

3x+y<=15

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Answers (1)
  1. 17 April, 00:34
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    X ≥ - 3

    y ≥ 5x - 9

    3x + y ≤ 15

    3 (-3) + (5x - 9) ≤ 15

    -9 + (5x - 9) ≤ 15

    (-9 - 9) + 5x ≤ 15

    -18 + 5x ≤ 15

    + 18 + 18

    5x ≤ 33

    5 5

    x ≤ 6.6

    y ≤ 5 (6.6) - 9

    y ≤ 33 - 9

    y ≤ 24

    (x, y) ≤ (6.6, 24)
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