Minimise and Maximise Z = 5x + 10 y subject to: x + 2y ≤ 120, x + y ≥ 60, x – 2y ≥ 0, x, y ≥ 0.

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To minimize and maximize the objective function Z=5x+10yZ=5x+10y subject to the given constraints: x+2y≤120x+2y≤120 x+y≥60x+y≥60 x−2y≥0x−2y≥0 x,y≥0x,y≥0 We can solve this linear programming problem using graphical method or any optimization technique such as simplex...
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To minimize and maximize the objective function Z=5x+10yZ=5x+10y subject to the given constraints: x+2y≤120x+2y≤120 x+y≥60x+y≥60 x−2y≥0x−2y≥0 x,y≥0x,y≥0 We can solve this linear programming problem using graphical method or any optimization technique such as simplex method. Let's first plot the feasible region defined by the constraints: x+2y≤120x+2y≤120 represents the line x+2y=120x+2y=120 with shaded area below it. x+y≥60x+y≥60 represents the line x+y=60x+y=60 with shaded area above it. x−2y≥0x−2y≥0 represents the line x−2y=0x−2y=0 with shaded area above it. x,y≥0x,y≥0 represents the first quadrant. read less
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