"We are just bringing technology into a new vertical, delivering medical marijuana in roughly 10 minutes," he said. "Our revenue model is we charge dispensaries for that lead generation service that we create for them."
"And If you were to follow the money it would essentially go from the patient to the dispensary, and we would then invoice the dispensary for the lead generation service that we provided to them," McCarty added.
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Eaze doesn't hire drivers, but rather works with a fleet company that has its own drivers who are sanctioned to carry a limited amount of marijuana in their cars for delivery.
Although recreational pot is now legal in both Colorado and Washington, it is not in California. There are some pushing for a measure for its legalization in the state in 2016, but there's also opposition. An anti-medical marijuana lobby in Sacramento, backed by the Police Chief's Association and the League of California Cities, has long opposed the statewide legalization of weed.
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Yet, public opinion about marijuana legalization is changing. A recent Pew Trust survey indicates that the majority of Americans (54 percent) now favor the legalization of marijuana. And support for legalization is even higher (69 percent) among millennials.
—By CNBC's Mark Berniker and Justin Solomon