The main difference of these two is about entrepreneurs innovating the products and making it more interesting and productive and more profitable. The easiest way to understand is an image that I've seen somewhere and it goes like this;
Businessman sells one watermelon for $5.
An entrepreneur sells watermelon juice (one slice) for $5.
Since entrepreneurs are innovators, they always think of ways how to improve certain things. They take problems and find solutions for it. If it’s hot and it’s summer, they might want to just sell watermelon shakes. Or maybe something else that’s interesting and unique like watermelon ice candy.
Yes, that's how they think. They think of solutions and what might be needed at that time out of something. They always think outside the box and that's where the opportunities strike them because they can see it while the others don't. Others might think of them as funny with the ideas that comes out from them.
I agree, both are important and they have their strengths that complement each other. Someone can be a businessman but not all businessman can become entrepreneurs.
Yes some businessman will just buy other products or innovations from other entrepreneurs. Businessmen usually know how to handle money better thsn entrepreneurs. That’s one of the difference
The profit margin is always on them even if it's the little and that's how businessmen think. While the entrepreneurs, they know how to make the profit bigger and that's not just about sales but also solutions as you've said.