What is the difference between productivity and efficiency and effectiveness?

Productivity is the amount time you spend on "productive" tasks.
Efficiency is how much you produce for a given amount of productive time.
Effectiveness or proficiency is the combination of both.

For example, if you performed a repair on a product and that repair was always billed as one hour of labor, but you could complete 3 repairs in 2 hours, you would be 150% efficient. And if you could spend 6 hours of an 8 hour shift at your station performing that repair (the rest of the time was spent ordering parts, answering phone calls, doing paperwork, cleaning your station, etc) then you would be 75% productive. Multiply the two together and you are 112.5% proficient (which is the same as completing 9 repairs in 8 hours).

The reason for breaking down the calculation is to determine how to make improvements. In the example above, we could complete and bill for 3 more repairs everyday if we had a support person to handle your "non-productive" tasks. If another repair person was very productive but not very efficient, you would want to provide additional training to improve their skills.
Productivity is the amount time you spend on "productive" tasks.
Efficiency is how much you produce for a given amount of productive time.
Effectiveness or proficiency is the combination of both.

For example, if you performed a repair on a product and that repair was always billed as one hour of labor, but you could complete 3 repairs in 2 hours, you would be 150% efficient. And if you could spend 6 hours of an 8 hour shift at your station performing that repair (the rest of the time was spent ordering parts, answering phone calls, doing paperwork, cleaning your station, etc) then you would be 75% productive. Multiply the two together and you are 112.5% proficient (which is the same as completing 9 repairs in 8 hours).

The reason for breaking down the calculation is to determine how to make improvements. In the example above, we could complete and bill for 3 more repairs everyday if we had a support person to handle your "non-productive" tasks. If another repair person was very productive but not very efficient, you would want to provide additional training to improve their skills.