diketahui x + 3y =4 dan z= x.y nilai z akan maksimum jika
Matematika
rizka337
Pertanyaan
diketahui x + 3y =4 dan z= x.y nilai z akan maksimum jika
2 Jawaban
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1. Jawaban whongaliem
x + 3y = 4 ⇒ x = 4 - 3y
z = x .y
= (4 - 3y) y
= 4y - 3y² .. nilai maks z jika z' = 0
z' = 4 - 6y
0 = 4 - 6y
6y = 4
y = 4/6
y = 2/3
x = 4 - 3y
= 4 - 3 (2/3)
= 4 - 2
= 2
z.maks = 2 . 2/3
= 4/3 -
2. Jawaban khasafila
x + 3y = 4 ⇒ x = 4 - 3y
z = x .y
= (4 - 3y) y
= 4y - 3y² .. nilai maks z jika z' = 0
z' = 4 - 6y
0 = 4 - 6y
6y = 4
y = 4/6
y = 2/3
x = 4 - 3y
= 4 - 3 (2/3)
= 4 - 2
= 2
z.maks = 2 . 2/3
= 4/3