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MHT CET202313 May 2023Evening ShiftMathematicsLinear ProgrammingActual

The shaded area in the given figure is a solution set for some system of inequations. The maximum value of the function z=10 x+25 y subject to the linear constraints given by the system is

Options

  1. A80
  2. B100
  3. C95
  4. D105

Correct answer

C. 95

Step-by-step solution

aligned & At (0,0), z=10(0)+25(0)=0 & At (3,0), z=10(3)+25(0)=30 & At (3,2), z=10(3)+25(2)=80 & At (2,3), z=10(2)+25(3)=95 & At (0,3), z=10(0)+25(3)=75 aligned Maximum value of z is 95 .

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