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This year, the fourth multiple-choice question of science mathematics in Chongqing college entrance examination.
For linear programming problems, the constraint region is a triangle, and the three vertices are (-1, 0), (3,0), (1, 2) respectively.

Maximum value of function z=2x+y: consider z as the y intercept of a straight line y=-2x+z, and the slope of this straight line is -2.

Therefore, in the straight line with the slope of over-constrained area of -2, the maximum intercept is Z, and when this straight line passes through (3,0), it is 6, and the correct answer is C.

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