The feasible region of an LPP is in the form of a parallelogram as shown in the figure. If the objective function is $Z=3 x+4 y$ and maximum value is 82, at what coordinates does it attain the maximum value?

(0, 4) (14, 6) (14, 10) (18, 6)

(14, 10)

The correct answer is Option (3) → (14, 10)