A bakery produces Queen cakes and Marble cakes. Queen cakes take 30 minutes each, and Marble cakes take 20 minutes each. The total time available is 4800 minutes, and at least 3600 minutes must be use

Let $x$ be the number of Queen cakes and $y$ be the number of Marble cakes.

a) Form all the inequalities that represent the above information:

Step 1: Formulate the time constraints.
Queen cakes take 30 minutes each, and Marble cakes take 20 minutes each.
The total time taken must not be more than 4800 minutes:

$$30x + 20y \le 4800$$

Dividing by 10 to simplify:

$$\boxed{3x + 2y \le 480}$$

The total time taken must not be less than 3600 minutes:

$$$$