MHT CET202410 May 2024Morning ShiftMathematicsLinear ProgrammingActual

The function to be maximized is given by Z =3 x+2 y . The feasible region for this function is the shaded region given below, then the linear constraints for this region are given by

Options

A3 x+8 y 24,4 x+5 y 20,5 x+3 y 15 , x 0, y 0
B3 x+8 y 24,4 x+5 y 20,5 x+3 y 15 , x 0, y 0
C3 x+8 y 24,4 x+5 y 20,5 x+3 y 15 , x 0, y 0
D3 x+8 y 24,4 x+5 y 20,5 x+3 y 15 , x 0, y 0

Correct answer

D. 3 x+8 y 24,4 x+5 y 20,5 x+3 y 15 , x 0, y 0

Step-by-step solution

Shaded region lies origin side of 4 x+5 y 20 , 5 x+3 y 15 and on non-origin side of 3 x+8 y 24 . array ll 3 x+8 y & 24,4 x+5 y 20,5 x+3 y 15 & x 0, y 0 array

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