ARBY'S
Panda Express uses a panda bear logo
There is no universal special logo for a restaurant that composts.
Hersheys
Arby's
A cowboy hat
The cowboy branded the cow.The products were all branded with the company's logo.
italian
Chili's
In France there is a restaurant chain called the Buffalo Grill with buffalo head and horns astheir logo. They're alright too!
I think that you are looking for Jamba Juice (jambajuice.com)
Fast food industry is in a monopolistic competition. This means that fast food businesses produce similar yet substitutable products, are profit maximizers, and all these businesses have some market power.
Jamba Juice