Sum values using multiple criteria

Good morning all,

I am trying to summarise the values from a table (not created by me - apologies for how bad it looks) so that i can find the monthly totals for each person for each type of activity. (as per attched)

So essentially what i need to do is write a formula that finds all values that matches the name, and the time period. This should be quite easy and I am sure I have done something like this before but my excel skills have gone out the window since i stopped using it.

Any help would be greatly appreciated.