Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Multivariable Calculus
Optimization
Probability
Linear Combinations
Variance and Covariance
Formulas
Partial derivatives ∂f/∂x and ∂f/∂y for finding critical points
Variance formula for linear combinations: Var(aX + bY) = a^2Var(X) + b^2Var(Y) + 2abCov(X, Y)
Theorems
Optimization using partial derivatives
Variance-Covariance matrix properties
Suitable Grade Level
Undergraduate Level
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