Question

The maximum value of $z=3x+4y$ subject to the condition $x+y\le 40,x+2y\le 60,x,y\ge 0$ is

• A. 130
• B. 120
• C. 40
• D. 140

Answer 1

Answer: (D)

Obviously, $z=3x+4y$ will be maximum at $(20,20)$
$\therefore$ Max $z=3\times 20+4\times 20=60+80=140$