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To solve this problem, we first need to determine the total amount of work that the six printers can do in 12 hours. We can express this work in terms of printer-hours.

If six printers can complete the job in 12 hours, then the total work done is:

Total Work = Number of Printers × Time

Total Work = 6 printers × 12 hours = 72 printer-hours

The goal is to complete the same amount of work, 72 printer-hours, in only 8 hours. To find out how many printers are required to achieve this, we divide the total work by the time allowed:

Required Printers = Total Work / Time

Required Printers = 72 printer-hours / 8 hours = 9 printers

Now, we already have six printers, so we need to find out how many additional printers are necessary:

Additional Printers = Required Printers - Existing Printers

Additional Printers = 9 printers - 6 printers = 3 printers

Thus, three additional printers are needed to complete the job in 8 hours. This reasoning clearly aligns with the choice that indicates three additional printers are necessary to meet the new target, demonstrating an understanding of the relationship between the number of printers,