Formulate the LP model to determine the optimal assignment of personnel to offices to minimise total assignment cost. You do NOT need to solve the mathematical model.

Deloitte Touche Tohmatsu Limited, a consulting company headquartered in Sydney, wants to assign three recently recruited university graduates, Andy, Benjamin, and Carlos to other main operation districts in Melbourne, Brisbane, and Perth. But the firm also has an opening in Adelaide and would send one of the three there if it were more economical than a move to Melbourne, Brisbane, and Perth. It will cost $1,100 to relocate Andy to Adelaide, $800 to relocate Benjamin there, and $1,400 to move Carlos. Office Personnel Melbourne Brisbane Perth Andy $750 $1,000 $1,300 Benjamin $600 $1,800 $1,500 Carlos $500 $1,100 $2,200