A furniture manufacturing company produces tables $(x)$ and chairs $(Y).$ Each table generates a profit of $$80$ and requires $3$ hours of assembly time and $4$ hours of finishing time. Each chair generates $$50$ of profit and requires $3$ hours of assembly time and $2$ hours of finishing time. There are $360$ hours of assembly time and $240$ hours of finishing time available each month. How many hours of assembly time is used when the profit is maximized?

$360$

$120$

$60$

$180$

$240$