- #1
oswald
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Homework Statement
Max f = x²yz³
sub. 50x+10y+100z = 1000
Homework Equations
Using Lagrange:
L = x²yz³ - λ ( 50x + 10 y + 100z - 1000 )
Lx = 2xyz³ - λ50 = 0
Ly = x²z³ - λ10 = 0
Lz = 3x²yz² - λ100 = 0
i found z = 2,5 x= 10 y=25, what's wrong?
The Attempt at a Solution
z = 5
x = 20/3
y = 50/3