Reuters reported that Boston-based The Gillette Co. posted higher first quarter profit on Thursday, boosted by sales of new razors, cost cuts and the weak dollar. Over the past several years, the world’s largest maker of blades and batteries has cut costs, eliminated some factories and improved its new-product pipeline, turning around a company that had been a laggard in the consumer products industry.Gillette posted profit of $376 million, compared with $263 million a year earlier. Sales ...