$7.$ Consider a tax $$rm that prepare individual $($I$)$ and corporate returns $($C$).$ Each individual return contributes $$125$ to pro$$t$,$ and each corporate return contributes $$250$ to pro$$t$.$ The $$rm employs $$ve accountants, four bookkeepers, and four secretaries$,$ all of whom work $40$ hour work weeks. Each individual tax return requires $1$ hour of accountant time and $1$ hour of secretarial time. Each corporate return requires $2$ accountant hours, $2$ bookkeeping hours, and $1$ secretarial hour. If the $$rm seeks to maximize pro$$ts$,$ set up $($a$)$ the $$rm$$s objective function and $($b$)$ its constraints.