GE Healthcare sells machines that discover why people are sick, and now its new chief executive, John Dineen, now must cure what ails the business. The division has been plagued by factory-production glitches that led to a federally ordered plant shutdown, an aborted acquisition, and shrinking insurance payments that has decreased demand for GE's products. The unit's operating profit fell 4% in the first half of 2008, and this summer the division laid off hundreds of workers.