Classify the following problems as to whether they are pure-integer, mixed-integer, zero-one, goal, or nonlinear programming problems
(a) Maximize Z = 5 X1 + 6 X1 X2 + 2 X2
Subject to: 3 X1 + 2 X2 ? 6
X1 + X2 ? 8
X1, X2 ? 0
(b) Minimize Z = 8 X1 + 6 X2
Subject to: 4 X1 + 5 X2 ? 10
X1 + X2 ? 3
X1, X2 ? 0
X1, X2 = 0 or 1
(c) Maximize Z = 10 X1 + 5 X2
Subject to: 8 X1 + 10 X2 = 10
4 X1 + 6 X2 ? 5
X1, X2 integer
(d) Minimize Z = 8 X12 + 4 X1 X2 + 12 X22
Subject to: 6 X1 + X2 ? 50
X1 + X2 ? 40
(a) nonlinear
(b) zero-one
(c) pure integer
(d) nonlinear
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