Show that the minimum of Z occurs at more than two points : Minimise and Maximise `Z = 5x +10 y`subject to `x+2ylt=120 ,x+ygeq60 ,x-2ygeq0,x ,ygeq0`.

Explanation

To solve the problem of minimizing and maximizing the objective function \( Z = 5x + 10y \) subject to the given constraints, we will follow these steps:

### Step 1: Identify the Constraints
The constraints given are:
1. \( x + 2y \leq 120 \)
2. \( x + y \geq 60 \)
3. \( x - 2y \geq 0 \)
4. \( x \geq 0 \)
...