Solve the Following Linear Programming Problem graphically : Minimise `Z =- 3x + 4y`Subject to `x+2ylt=8,3x+2ylt=12 ,xgeq0,ygeq0`.

Explanation

To solve the given linear programming problem graphically, we will follow these steps:

### Step 1: Define the Objective Function and Constraints
We need to minimize the objective function:
\[ Z = -3x + 4y \]

Subject to the constraints:
1. \( x + 2y \leq 8 \)
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