Matematika

Pertanyaan

kak,,tolong bantuin ya..,sekalian caranya,.
kak,,tolong bantuin ya..,sekalian caranya,.

1 Jawaban

  • Biaya x produk = 9000 + 1000x + 10x^2
    Harga jual x produk = 5000x
    Laba = harga jual - biaya
    L(x) = 5000x - (9000 + 1000x + 10x^2)
    L(x) = -9000 + 4000x - 10x^2
    L'(x) = 4000 - 20x = 0
    => -20x = -4000
    => x = 200
    Jadi laba maksimum
    L(200) = -9000 + 4000(200) - 10(200)^2
    = -9000 + 800.000 - 400.000
    = 391.000