A manufacturer makes two types of toys A and B. Three machines are needed for this purpose and the tune (in minutes) required for each toy on the machines is given below:Each machine is available for a maximum of 6 hours per day. If the profit on each toy of type A is Rs 7.50 and that on each toy of type B is Rs 5. show that 15 toys of type A and 30 of the B should be manufactured m a day to get maximum profit.

Explanation

To solve the problem of maximizing profit from manufacturing toys A and B, we will follow these steps:

### Step 1: Define Variables
Let:
- \( x \) = number of toys of type A produced
- \( y \) = number of toys of type B produced

### Step 2: Profit Function
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