The maximum value of in the following equation

MATHEMATICS · Subjective · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

The maximum value of

z

in the following equation

z = 6xy + y^2

, where

3x + 4y \le 100

and

4x + 3y \le 75

for

x \ge 0

and

y \ge 0

is \_\_\_\_.