Matematika

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  • 2x + 3y = 12
    A(0,4)
    B(6,0)

    2x + y = 6
    C(0,6)
    D(3,0)

    Titik potong
    2x + 3y = 12
    2x + y = 6
    Kurangkan
    2y = 6
    y = 3
    x = (6 - y)/2 = 3/2 ---> E(3/2 , 3)

    titik yg memenuhi soal :
    B C D E

    Fungsi obyektif
    f(x,y) = 6x + 2y

    B(6,0) = 6.6 + 2.0 = 36
    C(0,6) = 6.0 + 2.6 = 12
    D(3,0) = 6.3 + 2.0 = 18
    E(3/2 , 3) = 6.3/2 + 2 3 = 9 + 6 = 15

    Nilai minimum saat di C = 12