18-04-2015
Mathematics

contestada

Find the maximum value of x+y given that

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

Respuesta :

Panoyin Panoyin

19-04-2015

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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