A manufacturer produces two products A and B. Both the products are processed on two different machines. The available capacity of first machine is 12 hours and that of second machine is 9 hours per day. Each unit of product A requires 3 hours on both machines and each unit of product B requires 2 hours on first machine and 1 hour on second machine. Each unit of product A is sold at Rs. 7 profit and that of B at a profit of Rs. 4. Find the production level per day for maximum profit graphically.

Explanation

To solve the problem step by step, we will follow the process of formulating the objective function, defining the constraints, graphing the feasible region, and finding the optimal solution.

### Step 1: Define Variables
Let:
- \( x \) = number of units of product A produced per day
- \( y \) = number of units of product B produced per day

### Step 2: Formulate the Objective Function
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