Minimise `Z = 3x + 2y` subject to the constraints:
`x+yge8` . . .(1)
`3x+5ylt=15` . . .(2)
`xgeq0,ygeq0` . . .(3)

Explanation

To solve the problem of minimizing \( Z = 3x + 2y \) subject to the given constraints, we will follow these steps:

### Step 1: Write down the constraints
The constraints given are:
1. \( x + y \geq 8 \) (Constraint 1)
2. \( 3x + 5y \leq 15 \) (Constraint 2)
3. \( x \geq 0 \) (Constraint 3)
4. \( y \geq 0 \) (Constraint 4)
...