I've been struggling to find a solution to locating the maximal number within a 2-dimensional range and then looking up the column header that the maximal number falls into. 

For example:  

![example table](https://i.stack.imgur.com/OVH7s.png)

I'm looking for a formula that would lookup the maximal number in the range **A2** to **C5** (in this example `9669`). Then lookup the column that that number falls into (in this example **Person C**), and then return that value. 

Seems simply enough for a 1-dimensional range, but I can't find anything for dealing with 2-dimensions.

Any help would be greatly appreciated.