Final answer:
To calculate the allocated etching costs for each dog tag, divide the laser etching time for dog tags by the total laser etching time and multiply by the total etching costs.
Step-by-step explanation:
To calculate how much of the etching costs will be allocated to each dog tag, we need to determine the proportion of laser etching time for dog tags compared to the total laser etching time for both dog tags and bowls.
Each dog tag uses 24 minutes of laser etching time, and each bowl uses 6 minutes. So, the total laser etching time for dog tags is 24 * number of dog tags, and the total laser etching time for bowls is 6 * number of bowls.
Let's suppose there are 'x' dog tags. The proportion of laser etching time for dog tags would be (24 * x) / ((24 * x) + (6 * number of bowls)). Finally, we can calculate the allocated etching costs for each dog tag by multiplying this proportion by the total etching costs for the month.