Variant of Max Sumif Formula?

Hi,

I've got a spreadsheet with information on resource allocation. What i want to do is to have a formula that calculates which project each person has spent the most time on in a given month, as well as telling me the percentage of time they have spent on it. The formula should be dynamic and driven off a data validation list of the months (as depicted in the first sheet), so that the it gives the information depending on what month is selected. All the resource allocation information is in the second sheet.

I've tried a multitude of different formula combinations with arrays, max, sumif etc. and can't seem to get it to work.

Any help and advice is greatly appreciated!

Thanks