A brief comment
Your equation is completely off track. For example, in the ice cream parlor, you claim that the equation is:
wage = (int + str/2) *2
When in reality it is simply [(int+str)/2]*2 = int + str.
Note how order of operations works.
Secondly, what was the point of the movie theater? It seemed to provide no benefit in any area, other than wasting money.
Third, as some kind people have pointed out in the past, it seems like a waste to put so many study/strength/gaming options when clearly the most beneficial is the one requiring 2/10hp for reasons previous described. If the sole reason this is the case is that it takes more time to click through the menus numerous times, then I suggest altering this.
Fourthly, as also people mentioned, it would seem ridiculous to lose health when nothing has been done, especially when there are no instructions that provide proper context so that unnecessary life is lost.
Fifthly, the choices are few and far in between that it's pointless to place the ice cream parlor outside the city. Let's count the total things we can do.
1. Home.
A. Play games.
B. Sleep.
2. Ice Cream Parlor.
A. Work.
3. City.
A. Work
B. Study
C. Gym
D. Games.
4. Movie Theater
A. Movies.
Limited options abound. In terms of roaming the city, it seems incredibly mundane, something that I don't feel that I would spend more time on in the meantime.