Heavy Duty Inc., a manufacturer of power tools, decides to offer a rebate of $$110$ on its $16-$inch mid$-$range chain saw, which currently has a retail price $$490.$ Heavy Duty's marketers estimate that, as a result of the rebate, sales of this model will increase from $60000$ to $80000$ units next year. The profit margin for Heavy Duty before the rebate is $$160.$ Based on the given information, is the decision to give the rebate a wise one?

A$.$ Yes, since the benefits are $$6,100,000$ more than the costs.

B$.$ No$,$ since costs are $$5,600,000$ more than benefits.

C$.$ No$,$ since costs are $$6,600,000$ more than benefits.

D$.$ Yes, since the benefits are $$2,800,000$ more than the costs.