Matematika

Pertanyaan

Tentukan nilai maksimum fungsi sasaran z=3x+5y dengan syarat-syarat =x+3y < 9 , 2x+y < 8,x>0,y>0

1 Jawaban

  • z = 3x + 5y
    syarat
    x + 3y < 9
    misal x = 0 , y = 2
    z = 3(0) + 5(2) = 0 + 10 = 10
    misal y = 0 , x = 8
    z = 3(8) + 5(0) = 24 + 0 = 24
    2x + y < 8
    misal x = 0 , y = 7
    z = 3(0) + 5(7) = 0 + 35 = 35
    misal y = 0 , x = 3
    z = 3(3) + 5(0) = 9 + 0 = 9

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