List of top Higher Mathematics Questions on Linear Programming

Minimize \( Z = 3x + 5y \) subject to the constraints: \[ x + 3y \geq 3, x + y \geq 2, x \geq 0, y \geq 0. \]

Maximize \( Z = 3x + 9y \) subject to the constraints: \[ x + 3y \leq 60, x + y \geq 10, x \leq y, x \geq 0, y \geq 0. \]