I think we need to be very careful about how this is handled. Its one thing for a company to sponsor an event, but once they start sponsoring a chapter there is an implication that they are sponsoring FTE, and they aren't. Its especially a concern when they start putting their logo on the same item there is an FTE logo.
If they are willing to sponsor FTE, and offer the members a discount, then they may put their logo on the same item as the chapter, provided it's clear they are a "sponsor".