21.Nilai maksimum untuk fungsi objektif
Jawaban:
24
Penjelasan dengan langkah-langkah:
x + 2y = 16 → (0, 8) dan (16, 0)
3x + 2y = 20 → (0, 10) dan (20/3, 0)
x + 2y = 16
x = 16 – 2y
3x + 2y = 20
3 (16 – 2y) + 2y = 20
48 – 6y + 2y = 20
-4y = 20 – 48
y = -28/-4
y = 7
x = 16 – 2y
x = 16 – 2 . 7
x = 16 – 14
x = 2
(2, 7)
(0, 10), (0, 8) dan (2, 7)
f(x, y) = 5x + 2y
f(0, 10) = 5 . 0 + 2 . 10
f(0, 10) = 0 + 20
f(0, 10) = 20
f(0, 8) = 5 . 0 + 2 . 8
f(0, 8) = 0 + 16
f(0, 8) = 16
f(2, 7) = 5 . 2 + 2 . 7
f(2, 7) = 10 + 14
f(2, 7) = 24
jawabannya E. 24
Kode Kategorisasi : 12.2.2
Kelas 12
Pelajaran 2 – Matematika
Bab 2 – Program Linear
Kata kunci : Nilai maksimum