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Class 12 Linear Programming · Mcq Single Correct1 Markscorner_point_optimization

Class 12 Maths · Linear Programming · Mcq Single Correct #48

The unbounded feasible region in the first quadrant has lower boundary D(0,8),C(2,5),B(4,3),A(9,0), and extends upwards and rightwards. Where is Z=4x+3y minimum?

✅ Step-by-Step Solution

Final Answer: Option (B): (2,5)
  1. Boundary vertex values are 24,23,25,36. All recession directions are nonnegative, so the positive objective cannot decrease along them; minimum 23 at (2,5).

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