MHT CET20242 May 2024Evening ShiftMathematicsLinear ProgrammingActual
The shaded region in the following figure is the solution set of the inequations
Options
- Ax+2 y 50,2 x+y 100,2 x-y 0 , x, y 0
- Bx+2 y 50,2 x+y 100,2 x-y 0 , x, y 0
- Cx+2 y 50,2 x+y 100,2 x-y 0 , x, y 0
- Dx+2 y 50,2 x+y 100,2 x-y 0 , x, y 0
Correct answer
A. x+2 y 50,2 x+y 100,2 x-y 0 , x, y 0
Step-by-step solution
Take a test point (10,40) which lies within the feasible region. Since 10+2(40)=90 50 , 2(10)+40=60 100 , 2(10)-40=-20 0 x+2 y 50,2 x+y 100,2 x-y 0, x, y 0