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