MHT CET20244 May 2024Evening ShiftMathematicsLinear ProgrammingActual

The maximum value of the objective function z =4 x+6 y subject to 3 x+2 y 12, x+y 4, x , y 0 is

Options

Correct answer

D. 36

Step-by-step solution

The corner points of feasible region are A (4,0) , B (0,4), C (0,6) At A(4,0), Z=4(4)+6(0)=16 At B( 0,4 ), Z=4(0)+6(4)=24 At C (0,6), Z =4(0)+6(6)=36 Z has maximum value at C (0,6) which is 36 .

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