Definition used:
" The Lagrange multipliers defined as
This equation can be expressed as
"
Calculation:
Let the volume of the rectangular box be
Thus, the maximize function
subject to the constraint
The Lagrange multipliers
is computed as follows,
Thus, the value of
By the definition,
can be expressed as follows,
From the equations (1), (2) and (3),
Consider
and compute the value of y,
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