Thanks for the clarification.
Every "goal" like this should be held to a S-M-A-R-T standard:
Specific
Measurable
Action Oriented
Realistic
Time Sensitive
It seems that this one passes muster - except possibly on the "Realistic" part.
My suggestion:
- confirm whether your superiors want you to do the other non-billable customer service/support items or not:
- if they do, then work with them to incorporate it into the productivity formula
- if they don't, then find a way to politely extract yourself from these activities with the customer (and it pains me to say that...but it's not your place to personally subsidize what your employer doesn't support) and then take some of the "excess productivity" from your subordinates into your schedule
It's obvious that you have a passion for excellence and doing "the right thing"...but, don't let this be a penalty for you...