Question

tolong jawab pake cara ýa​

Answer 1

Penjelasan dengan langkah-langkah:

DIFERENSIAL

biaya = f(x)

jual = g(x)

keuntungan = h(x)

f(x) = 2x² – 100x

g(x) = (x + 100)x = x² + 100x

h(x) = g(x) – f(x)

h(x) = x² + 100x – (2x² – 100x)

h(x) = x² + 100x – 2x² + 100x

h(x) = –x² + 200x

keuntungan maksimum → h'(x) = 0

h(x) = –x² + 200x

h'(x) = –2x + 200 = 0

–2x = –200

x = –200

–2

x = 100

h(x) = –x² + 200x

h(100) = – 100² + 200 × 100

h(100) = – 10.000 + 20.000

h(100) = 10.000 juta rupiah

keuntungan maksimum yang didapat perusahaan = Rp. 10.000.000.000,00