- #1
jaredmt
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Homework Statement
i needed to find the max and min possible volume for a box with edges that = 200cm and surface area that = 1500cm^2 using Lagrange multipliers.
Homework Equations
edges: 4x + 4y + 4z = 200cm
Area: 2xy + 2xz + 2yz = 1500 cm^2
Volume = xyz
The Attempt at a Solution
i brought it down to this:
Vol = f
Area = G
Edges = g
^f = ^G# + ^g$
(# and & just means 'some number')
( ^ is the gradient of the function)
when i simplify everything out i get these statements:
yz = #(y + z) + $
xz = #(x + z) + $
xy = #(x + y) + $
x + y +z = 50
xy + yz + yz = 750when i try to replace values it seems to get messy. do i just throw in random values for # and $ or something? I am 99% sure that they cannot = 0. that is pretty much all i can say from these statements right now lol