The corner points of the feasible region of a LPP are P(0, 5), Q(1, 5), R(4, 2) and S(12, 0). The minimum value of the objective function $Z=2x+5y $ is at the point :

P Q R S

R

The correct answer is Option (3) → R Corner points   $Z(x,y)=2x+5y$ P(0, 5) Z(0, 5) = 25 Q(1, 5) Z(1, 5) = 27 R(4, 2) Z(4, 2) = 18 S(12, 0) Z(12, 0) = 24 Minimum value at point R