Ahmad has identified the ten steps required to create a race of atomic supermen to complete his plans for world conquest. The estimated time in weeks and cost in US dollars appear in the table along with the shortest possible duration for each activity and cost of those expedited activities. Activities are designated generically as A$,$ B$,$ and so on in order to avoid any copycat projects of this nature.

$\backslash$table$[[$Activity$,$Predecessor,$\backslash$table$[[$Normal$],[$Time$]],\backslash$table$[[$Crash$],[$Time$]],\backslash$table$[[$Normal$],[$Cost$]],\backslash$table$[[$Crash$],[$Cost$]]],[$A$,--,12,7,2000,5500],[$B$,$A$,14,10,3000,5400],[$C$,$A$,13,11,4000,6000],[$D$,$A$,11,9,5000,9000],[$E$,$B$,$C$,9,7,3000,4300],[$F$,$D$,10,4,3500,5700],[$G$,$D$,15,10,15000,20000],[$H$,$E$,11,7,8000,11400],[$I$,$F$,$G$,9,8,4000,4750],[$J$,$H$,$I,$12,10,6000,7500]]$

Suppose in addition to the costs shown in the table, Ahmad faces a $$2,000$ per week opportunity cost of not being in control of the world. Determine the minimum cost project factoring in both the costs of expediting and the opportunity cost. What is the overall minimum cost and duration of the project?

Show detailed calculations. $[10$ marks$]$