Consider the following objective function and constraint: C(x) = 2x12 - 15x + 3x23 - 9x2 + 30, such that x1 = 3x2. Which of the following is the correct Lagrangian function?
A) L = 2x12 - 15x + 3x23 - 9x2 + 30 - ? (3x2 - x1)
B) L = 2x12 - 15x + 3x23 - 9x2 + 30 - ? (x2 - 3x1)
C) L = 2x12 - 15x + 3x23 - 9x2 + 30 - ? (3x1 - x2)
D) L = 2x12 - 15x + 3x23 - 9x2 + 30 - ? (3x2 - 3x1)
Answer: C
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