To calculate the total number of loaves produced by noon, let's break down the problem.

1. Initial loaves produced by 6 a.m.: The factory has already produced 1,200 loaves by 6 a.m.
2. Production rate: The factory produces 600 loaves of bread per hour.
3. Hours between 6 a.m. and noon: From 6 a.m. to noon is 6 hours.

Now, we can calculate how many additional loaves are produced from 6 a.m. to noon: $\text{Loaves produced from 6 a.m. to noon} = 600 \, \text{loaves/hour} \times 6 \, \text{hours} = 3,600 \, \text{loaves}.$

Finally, the total number of loaves produced by noon is: $1,200 \, \text{loaves} + 3,600 \, \text{loaves} = 4,800 \, \text{loaves}.$

Thus, the factory will have produced 4,800 loaves by noon.

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Would you like more details or have any questions about this?

Here are 5 related questions:

1. How many loaves would the factory produce by 4 p.m. if it continues at the same rate?
2. What time would it be if the factory produced 10,800 loaves in total?
3. How many loaves are produced in 15 minutes?
4. If the production rate increases to 800 loaves per hour, how many loaves will be produced by noon?
5. How many hours would it take to produce 18,000 loaves at the same rate?

Tip: Always check how many hours or minutes are being considered to ensure accurate total production estimates.