For the feasible region of a LPP as shown, if the equation of  OA and BC are y-2x =0 and y-2x=4 respectively, then constraints for LPP are :

$y≥2x; y-2x≤4;x≤6;x, y ≥0$

The correct answer is Option (1) → $y≥2x; y-2x≤4;x≤6;x, y ≥0$

$OA:y-2x=0$

$BC:=y-2x=4$

Since the 2 lines are parallel the feasible region is the bond between these lines.

Therefore, the region lies between lines, described by:

$0≤y-2x≤4$

$y-2x≥0⇒y≥2x$

$y-2x≤4$ 

$x≤6$  (As seen in graph)

$x≥0$ (Non-negative constraints)

$y≥0$ (Non-negative constraints)