Sparta, as seen at Turn 45.
So, how is this city going to go? My simple recommendation for tile development goes something like this:
1) If there's a resource, put the matching improvement on it
2) If it's a green hill, put a mine on it
3) If it's green and flat, put a cottage on it
4) If it's brown, leave it alone
This gives reasonable results at Noble. When city specialization kicks in, some of those rules go out the window. There are also riddles about optimizing for growth, and how to judge when you don't have the improvement that matches a resource, that can come later.
Here's where we're headed at T90.
The arrows are drawn to show how I usually think about food: the city tile works the best food tile (wheat), and that cancels out other tiles that need food. Other food tiles use their surplus to cancel out other interesting tiles.
So I can see pretty quickly that I have enough food to work all four mines, once I get big enough - perfect for hammers in a city with 6 happy.
The green circles are food neutral - so I can see that I can get up to size 10 without needing to do anything clever.
I'm working the cottage here, because so often growth first gets more return than hammers first. If you work through the math, ignoring the granary to simplify things, you'll find that working the cottage tiles gets you a few more turns total turns on the mines, AND the extra commerce that you get from working the cottages. So it's a small win - assuming that total hammers at the end is more important than hammers now!
(Of course, the correct calculation would account for the granary too. And here, if we are serious about constructing it, you definitely need to worry about the fact that hammers now! may mean that you get the granary sooner, and therefore get more food when we do grow. I haven't gone mining the code, but the governor does seem to be smart about upping the value of hammers when constructing the granary).
Much more important than learning to optimize your tile yield? Learning to project what the city is going to look like before you actually settle it.