$\backslash$table$[[$# of programmers,W$,$T$],[,$AP$,$AP$],[0,0,0],[1,10,13],[2,10,12],[3,10,11],[4,10,10]]$

The optimal allocation of your $4$ programmers is $\text{'}$x$)$ for $W$ ans $($x$)$ for Twhich yield a total of $($xx$)$ programs.

Assuming you pay $$100$ to each programmer'and programs sell for $$100$ each your profits are $($xxxx$).$