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Unformatted text preview: The largest value yields the maximum of f subject to the constraint c y x g = ) , ( , and the smallest value yields the minimum of f subject to the constraint c y x g = ) , ( . Example: Minimize 2 2 ) , ( y x y x f + = subject to the constraint 15 4 2 =-+ y x . Maximize xyz z y x f = ) , , ( subject to the constraint 6 =-+ + z y x . The Method of Lagrange Multipliers can be extended to optimize a problem involving two constraints g and h : h g f ∇ + ∇ = ∇ μ λ Maximize xyz z y x f = ) , , ( subject to the constraints 5 2 2 = + z x and 2 =-y x ....
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This note was uploaded on 01/13/2012 for the course MATH 2574 taught by Professor Pamelasatterfield during the Spring '12 term at NorthWest Arkansas Community College.
- Spring '12