The feasible region for a LPP is shown in the given figure. The maximum value of $z=2 x+5 y$ is :

26

from given figure

eq to be maximized is z = 2x + 5y

corner points so z(x, y) = 2x + 5y

A(7, 0) so z(7, 0) = 2 × 7 + 0 = 14

O(0, 0) so z(0, 0) = 0 + 0 = 0

B(3, 4) so z(3, 4) = 2 × 3 + 5 × 4 = 6 + 20 = 26

B(0, 2) so z(0, 2) = 2 × 0 + 5 × 2 = 2 = 10

Z_max = 26