Let z = x + 2Y, where real numbers x and y satisfy x − y + 1 ≥ 0 x + y − 2 ≤ 0 x ≥ 0 y ≥ 0 & nbsp; then the value range of Z is______ ．

Let z = x + 2Y, where real numbers x and y satisfy x − y + 1 ≥ 0 x + y − 2 ≤ 0 x ≥ 0 y ≥ 0 & nbsp; then the value range of Z is______ ．

The corresponding plane region of constraint condition x − y + 1 ≥ 0 x + y − 2 ≤ 0 x ≥ 0 y ≥ 0 is shown in the figure: the objective function z = 2Y + X obtains the minimum value at O (0,0), and the maximum value at B is obtained at z = 0. The value range of Z = x + 2Y can be obtained from X − y + 1 = 0 x + y − 2 = 0, and B (12,32) is obtained at z = 7 & nbsp; 2

Elden Ring Premiere

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