Matematika

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Jawaban nomor 17 dong...
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Jawaban nomor 17 dong... Minta tlong d jawab....

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  • Kelas 11 Matematika
    Bab Program Linear

    Kelas utama = x
    Kelas ekonomi = y

    70x + 30y <= 2.100 ◎ dibagi 10 ◎ 7x + 3y <= 210
    7x + 3y = 210 → (0, 70) dan (30, 0)

    x + y <= 50 → (0,50) dan (50, 0)
    x + y = 50 ◎ dikali 3 ◎ 3x + 3y = 150

    7x + 3y = 210
    3x + 3y = 150
    --------------------- -
    4x = 60
    x = 15

    x + y = 50
    15 + y = 50
    y = 50 - 15
    y = 35

    f(x, y) = 250.000x + 175.000y

    f(0, 70) = 0 + 175.000 . 70
    f(0, 70) = 12.250.000

    f(50, 0) = 250.000 . 50 + 0
    f(50, 0) = 12.500.000

    f(15, 35) = 250.000 . 15 + 175.000 . 35
    f(15, 35) = 3.750.000 + 6.125.000
    f(15, 35) = 9.875.000

    karena x dan y tidak boleh 0, maka, keuntungan maksimum = Rp 9.875.000,00