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memish
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Homework Statement
Find the dimensions of the box with the largest volume, given the constraint that the perimeter of the cross sector perpendicular to length is at msot 108
Homework Equations
So I have f(x,y,z)=xyz
and the constraint is 2x+2z<108
The Attempt at a Solution
I set up the legrange multipler <yz, xz, xy>=(multiplier)<2, 0, 2>
So then you have
yz=2(multiplier)
yx=2(multiplier)
xz=0(multiplier)
and then 2x+2z<108
But since xz=0(m), I can't figure out how to solve the 4 equations to get the possible points. If I have xz=0, then either x or z is 0, right? but then there would be no volume..any ideas? Thanks!