By Se Young Lee SEOUL (Reuters) – South Korea's SK Hynix Inc said on Thursday it will invest 3.16 trillion won ($2.7 billion) in its home country and China to boost memory chip production capacity, seeking to capitalize on growing mobile and data storage demand. The world's No. 2 memory chip maker behind domestic rival Samsung Electronics Co Ltd said it plans to invest 2.2 trillion won to build a new NAND flash chip production fab in South Korea and 950 billion won to boost DRAM chip production capacity at its existing facilities at Wuxi, China. …