Honda Motor Company is considering offering a $$2,100$ rebate on its minivan, lowering the vehicle's price from $$29,000$ to $$26,900.$ The marketing group estimates that this rebate will increase sales over the next year from $38,000$ to $53,200$ vehicles. Suppose Honda's profit margin with the rebate is $$5,670$ per vehicle. If the change in sales is the only consequence of this decision, what are its costs and benefits? Is it a good idea? Hint: View this question in terms of incremental profits.

The cost of the rebate will be $9$ million. $($Round to one decimal place.$)$

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