What is the optimal solution to the following NLP (Use K-T conditions and the multiplier X for the constraint)? Max Z = X₁ X2 s. t. 4x2 + 4x2 ≤1 Select one: O a. O b. O O d. - - X₁ = X2 X1 X₁ = √2/₁ NIS X1 = =/X₂ || x₂ = = 2²2₁2=1/²2 √2 -2₁X=1/2 λ - || 114 x₁ = 1/2 X ₂ = − 1²2, ^ = 2²/12 - X1 X2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 58PPS
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Question
What is the optimal solution to the following NLP (Use K-T conditions and the multiplier X
for the constraint)?
Max z = X₁ X2
s. t. 4x2 + 4x2 < 1
Select one:
O a.
O b.
O
ö
O d.
√2
√2
X1
=
1-4x₂ - - ₁2 - 1/2
x₁ - ²₁x₂-√²,2-₂
=
X2
=
=
-
1 = 2 × 2 = − 1, λ = 11
X1
-
x₁ = 1 / ² × ₂ = -1/² ₁2 = 1²/01
λ
X1
2
Transcribed Image Text:What is the optimal solution to the following NLP (Use K-T conditions and the multiplier X for the constraint)? Max z = X₁ X2 s. t. 4x2 + 4x2 < 1 Select one: O a. O b. O ö O d. √2 √2 X1 = 1-4x₂ - - ₁2 - 1/2 x₁ - ²₁x₂-√²,2-₂ = X2 = = - 1 = 2 × 2 = − 1, λ = 11 X1 - x₁ = 1 / ² × ₂ = -1/² ₁2 = 1²/01 λ X1 2
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