Taiwan Semiconductor Manufacturing Company has reached a three-year agreement to develop the next generation of Apple processors, according to a report. Using 20nm, 16nm, and 10nm process technologies, TSMC will manufacture A8 and A9 chips for Apple. Production of the A8 chips will start next month, with the processors expected to first appear in a 2014 iPhone release, sources said. The A9 and A9X chips will enter production in the third-quarter of…