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Find the maximum value of x+y given that




x>=-3
y>=5x-9
3x+y<=15

Sagot :

Panoyinidn
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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