The Lagrangian Function Corresponding to the Following Constrained Optimization Problem f(X1,X2)=−2X12+12X1−2X1X2−X22+4X2−160
Question 12
Question 12
Multiple Choice
The Lagrangian function corresponding to the following constrained optimization problem: Maximize: f(X1,X2) =−2X12+12X1−2X1X2−X22+4X2−160 , subject to X1+X2=10 is
A) f(X1,X2,λ) =−2X12+12X1−2X1X2−X22+4X2−160+λ⋅(X1+X2) B) f(X1,X2,λ) =−2X12+12X1−2X1X2−X22+4X2−160+λ.+(X1+X2) C) f(X1,X2,λ) =−2X12+12X1−2X1X2−X22+4X2−160+λ⋅(X1+X2−10) D) f(X1,X2,λ) =−2X12+12X1−2X1X2−X22+4X2−160−λ⋅(X1+X2+10)
Correct Answer:
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