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Well no, you'd want to use the rel="publisher" tag in that case. And the commercial entity should start their own Google+ page.
But as a company that makes no sence as in a society there is not 1 owner, so who is the one to open the personal page? Just dont get it.
Facebook has a similar requirement. With Facebook, you don't necessarily need to start with a personal account, but if you create a page without one, you get a "business account", which is really just a stripped down version of a personal account; first name, last name, date of birth—all required
Let's face it, no one has the slightest idea that is based on any facts.