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 of maximizing profit for the manufacturer producing products A and B, we can follow these steps:

### 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: Define the Profit Function
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