(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Max f = x²yz³

sub. 50x+10y+100z = 1000

2. Relevant 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, whats wrong?

3. The attempt at a solution

z = 5

x = 20/3

y = 50/3

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# Homework Help: Maximization subject equality constraint

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