“We shouldn’t be criticized for using Chinese workers,” a current Apple executive said. “The U.S. has stopped producing people with the skills we need.”

What’s more, Apple sources say the company has created plenty of good American jobs inside its retail stores and among entrepreneurs selling iPhone and iPad applications.

After two months of testing iPads, Mr. Saragoza quit. The pay was so low that he was better off, he figured, spending those hours applying for other jobs. On a recent October evening, while Mr. Saragoza sat at his MacBook and submitted another round of résumés online, halfway around the world a woman arrived at her office. The worker, Lina Lin, is a project manager in Shenzhen, China, at PCH International, which contracts with Apple and other electronics companies to coordinate production of accessories, like the cases that protect the iPad’s glass screens. She is not an Apple employee. But Mrs. Lin is integral to Apple’s ability to deliver its products.

Mrs. Lin earns a bit less than what Mr. Saragoza was paid by Apple. She speaks fluent English, learned from watching television and in a Chinese university. She and her husband put a quarter of their salaries in the bank every month. They live in a 1,080-square-foot apartment, which they share with their in-laws and son.

“There are lots of jobs,” Mrs. Lin said. “Especially in Shenzhen.”

Innovation’s Losers

Toward the end of Mr. Obama’s dinner last year with Mr. Jobs and other Silicon Valley executives, as everyone stood to leave, a crowd of photo seekers formed around the president. A slightly smaller scrum gathered around Mr. Jobs. Rumors had spread that his illness had worsened, and some hoped for a photograph with him, perhaps for the last time.

Eventually, the orbits of the men overlapped. “I’m not worried about the country’s long-term future,” Mr. Jobs told Mr. Obama, according to one observer. “This country is insanely great. What I’m worried about is that we don’t talk enough about solutions.”

At dinner, for instance, the executives had suggested that the government should reform visa programs to help companies hire foreign engineers. Some had urged the president to give companies a “tax holiday” so they could bring back overseas profits which, they argued, would be used to create work. Mr. Jobs even suggested it might be possible, someday, to locate some of Apple’s skilled manufacturing in the United States if the government helped train more American engineers.