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MHT CET202416 May 2024Evening ShiftMathematicsLinear ProgrammingActual

The shaded area in the given figure is a solution set for some system of inequalities. The maximum value of the function z=4 x+3 y subject to linear constraints given by the system is

Options

  1. A38
  2. B36
  3. C33
  4. D34

Correct answer

B. 36

Step-by-step solution

The corner points of the feasible region are O (0,0), A (6,0), B (6,4), C (3,7) and D (0,5) . z=4 x+3 y At O (0,0), z =4(0)+3(0)=0 At A(6,0), z=4(6)+3(0)=24 At B(6,4), z=4(6)+3(4)=36 At C(3,7), z=4(3)+3(7)=33 At D(0,5), z=4(0)+3(5)=15 Maximum value of z is 36 .

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