Solve the following problem graphically:Minimise and Maximise `Z = 3x + 9y` . . . (1)subject to the constraints: `x+3ylt=60` . . . (2) `x+ygeq10` . . . (3) `xlt=y` . . . (4) `xgeq0,ygeq0` . . . (5)

Explanation

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

### Step 1: Identify the Objective Function and Constraints
The objective function we want to minimize and maximize is:
\[ Z = 3x + 9y \]

The constraints are:
1. \( x + 3y \leq 60 \) (Constraint 1)
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