A factory produces three types of products: A, B, and C. Product A takes 2 hours to produce, product B takes 3 hours, and product C takes 4 hours. The factory operates for 12 hours per day. If the factory must produce an equal number of each product every day, what is the maximum number of each product it can produce daily?
The factory can produce 4 units of each product daily.

Here's the logic behind this:

1. Let x be the number of each product produced daily.
2. The total production time for each product is 2x for A, 3x for B, and 4x for C.
3. The factory operates for 12 hours per day, so the sum of the production times for all products must be less than or equal to 12: 2x + 3x + 4x ≤ 12.
4. Combining the terms gives us 9x ≤ 12.
5. Dividing both sides by 9, we get x ≤ 1.33 (rounded to two decimal places).
6. Since the factory must produce an equal number of each product and cannot produce a fraction of a product, the maximum value for x is 4.

So, the factory can produce 4 units of each product daily.