Determine graphically the minimum value of the objective function`Z = - 50 x + 20 y` . . .(1)subject to the constraints:`2x-ygeq-5` . . .(2)`3x+ygeq3` . . .(3)`2x-3ylt=12` . . .(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 to minimize is:
\[ Z = -50x + 20y \]
The constraints are:
1. \( 2x - y \geq -5 \) (Constraint 1)
2. \( 3x + y \geq 3 \) (Constraint 2)
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