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HP EliteBook 8540p Notebook PC

I have read a few articles and I think I know the answer, however I will ask anyway for my specific case.

 

I have the following PC:

HP ElitBook 8540p

CPU: Intel Core i5 540M 2.53GHz (Dual Core)

RAM - DIMM1: Elpida EBJ21UE8BDS0-DJ-F 2GB SO-DIMM DDR3 PC3-10700 (667MHz) 1.5V

RAM - DIMM2: Kingston 99U5594-005.A00LF 2GB SO-DIMM DDR3 PC3-10700 (667MHz) 1.5V

There are only 2 RAM DIMM slots (under keyboard and under base).

 

I want to upgrade the RAM to the maximum size and performance. From what I've read, because of the Dual Core CPU maximum RAM size is limited to 8GB. I also read that the maximum RAM speed is 1333MHz.

 

What is my best approach? I suspect that it is 2 x 4GB SO-DIMM DDR3 PC3-10600 (1333MHz). What approximate performance improvement is this likely to be?

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