Question

The maximum value of $z = 9x + 13y$ subject to $2x + 3y \le 18, 2x + y \le 10, x \ge 0, y \ge 0$ is

• A. $130$
• B. $81$
• C. $79$
• D. $99$

Answer 1

Answer: (C)

$79$

Answer 2

The feasible region is $OABC$. At $\,\,\,\, O(0,0), z=0$ At $\,\,\,\,A(5,0), z=45$ At $\,\,\,\, B(3,4), z=27+52=79$ At $\,\,\,\, C(0,6), z=78$ $\therefore$ Maximum value of $z$ is $79$