Minimize the function subject to the constraint .

Name: Minimize the function subject to the constraint .
Brand: Quizplus
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Question

Minimize the function  subject to the constraint  .

Quizplus · Accepted Answer

Using Lagrange multipliers, we set up the equation: ∇f = λ∇g => <22aa6117, 2e33a223> = λ<22aa6117, -1e33a223> Solving this system of equations, we get λ = -2 and aa = 1/2. Substituting aa = 1/2 into f, we get the minimized value of f as: f = 11eaa8b1_d98d_5f93_b1b6_598518a80857_TB6026_11 = 4(22aa6117) + 8(2e33a223) = 91aa244d + 11c674446 Therefore, the answer is choice A.

Minimize the Function Subject to the Constraint