How to measure Productivity?

This happened in one fine day in a team meeting. One of my co-workers raised her doubt on measuring the productivity.

A Tool to measure productivity?

She picked up a task and based on her initial understanding estimated that the task would require two hours to complete. When she started with the task she ended up in exploring for solution and a bit of research for about six hours and learned that two lines of code will fix the task. So she coded those two lines complied in ten minutes. Now, what is the productivity and how to measure that?

I really don’t have an answer,as I can’t quantify the productivity to a mere number and I believe most development and testing tasks are like this. Do you have an answer?

Addendum added an hour later:

Every one is forced to show their productivity,that is the only measure any company needs. Will KLOC ,Burn Down Chart or any other metrics show the productivity correctly here?

Addendum added After Aravind’s Comments:

I liked all the points in comments by Aravind  below

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