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MHT CET202613 April 2026Morning ShiftMathematicsLinear ProgrammingActual

In L.P.P., the corner points of the feasible region for the constraints 3x - y 6, x 3, y 2, y 0, x 0 are .....

Options

  1. A(3, 2), (3, 0), (2, 0)
  2. B( 8 3 , 2 ), (3, 2), (3, 0), (2, 0)
  3. C(0, 0), (2, 0), ( 8 3 , 2 ), (0, 2)
  4. D(3, 2), (0, 3), (0, 2)

Correct answer

B. ( 8 3 , 2 ), (3, 2), (3, 0), (2, 0)

Step-by-step solution

The given constraints are 3x - y 6 , x 3 , y 2 , x 0 , y 0 . The boundary lines for the feasible region are 3x - y = 6 , x = 3 , y = 2 , x = 0 , and y = 0 . Finding the intersection points of the line 3x - y = 6 with the other boundary lines: Intersection with y = 0 : 3x - 0 = 6 x = 2 . The point is (2, 0) . Intersection with y = 2 : 3x - 2 = 6 3x = 8 x = 8 3 . The point is ( 8 3 , 2 ) . The other corner points are formed by the intersection of the remaining boundary lines x = 3 , y = 2 , and y = 0 that satisfy 3x

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