Math Problem Statement
i have a problem know that w1, w2, w3, h1, h2 >= 0 and w1h2 = 4, w2h2 = 4, w3h1 = 2 minimize (w1+w2+w3)(h1+h2)
can you use lagrange multiplier to solve this ?
Solution
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Math Problem Analysis
Mathematical Concepts
Optimization
Lagrange Multipliers
Multivariable Calculus
Constrained Optimization
Formulas
Lagrange multiplier method: L(x, λ) = f(x) + λ(g(x) - c)
Constraint equations: w1h2 = 4, w2h2 = 4, w3h1 = 2
Objective function: (w1 + w2 + w3)(h1 + h2)
Theorems
Lagrange Multiplier Theorem
Partial Derivatives
Suitable Grade Level
University Level (Advanced Calculus/Optimization)
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