I need to get this resulting price and quantity (housing):
It's pretty clear that the denominator of the quantity function is just the price function.
From this utility function:
And this constraint:
Now this is a monocentric city model function, so these methods follow:
However, I do not see the actual process of doing that. I need to make this calculations for other utility functions, but when I follow the steps, I do not get the desired result.