“Product placement has long been a tradition in movies, but as performing arts organizations scramble for funding in a tight economy, will Hamlet be next to hold a Coke can onstage?” That’s just one idea being looked at by arts groups facing severe cuts from the budget knives of cash-strapped states. It seems to be a fact that public arts funding is going away, at least temporarily, for many smaller organizations, and administrators are looking at everything from product placement to individual sponsorship of productions to make up the difference.