$[30$ points$]$ Tristar Manufacturing makes three models of fans, identified by the unimaginative names of $A,B,$ and $C.$ The fans are made out of nuts, bolts, wire, blades, and motors. The current inventory levels and parts list for each type of fan is shown in the table below. Profit from Fan A is $$35,$ Fan B profit is $$50,$ and Fan C profit is $$60.$ Tristar Manufacturing wants to know the best product mix to maximize the revenue.

$\backslash$table$[[,$Fan A$,$Fan B$,$Fan C$,],[$Component$,$# Needed,# Needed,# Needed,Current Inventory$],[$Wire$,5,6,10,8000],[$Nuts$,8,7,15,12000],[$Bolts$,8,10,12,10000],[$Motor$,1,1,1,1500],[$Blades$,3,5,5,7500]]$