Jack's Convenience Store is open for $20$ hours a day, Monday through Saturday. There is always one employee in the store. The store employs three full$-$time employees, who work $40$ hours per week and earn $$9$ per hour. The store also spends $$200$ per week on each full$-$time employee's benefits. Their labor contract requires that they earn double$-$time for any overwork and that any employee who works $30$ hours or more per week be given full benefits. The store is considering expanding its hours to $24$ hours per day, Monday through Saturday, and $16$ hours on Sunday.

How much would it cost the store to expand its hours and have its current employees work overtime to cover the extra hours?