Determine whether each of the following NLPs is a quadratic program, and if so, identify the c
Question:
Determine whether each of the following NLPs is a quadratic program, and if so, identify the c and Q of matrix objective function form c # x + xQx.
(a) min x1x2 + 134>x3 + ln1x12 s.t. x1 + 4x2 - x3 … 7 14x1 + 2x3 = 16 x1, x2, x3 Ú 0
(b) min 61x122 + 34x1x2 + 51x222
-12x1 + 19x2 s.t. 7x1 + 3x2 Ú 15 93x1 + 27x2 + 11x3 … 300 x3 Ú 0
(c) max 2x1x2 + 1x222 + 9x3 s.t. x1 + x2 + x3 Ú 6 xj … 5, j = 1,
c, 3
(d) max 1x122 + 1x222 s.t. 1x1 - 1022 + 1x2 - 422 … 9 x1, x2 Ú 0
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