Question

The feasible region of an LPP is shown in the figure. If $Z = 11x + 7y$, then the maximum value of $Z$ occurs at

• A. (0,5)
• B. (3,3)
• C. (5,0)
• D. (3,2)

Answer 1

Answer: (D)

(3,2)

Answer 2

$y$ Intercept of $x+y=5$ is $(0,5)$ $y$ -intercept of $x+3 y=9$ is $(0,3)$ The intersection point of $x+y=5$ and $x+3 y=9$ is $(3,2)$ Therefore, the corner points are $(0,5),(0,3),(3,2)$ At $(0,5), Z=35$ At $(0,3), Z=21$ At $(3,2), Z=47$ So, $Z_{\max }=47$ at $(3,2)$.