Honda Motor Company is considering offering a $2,300$ rebate on its$$ minivan, lowering the$$ vehicle's price from $38,000$ to $35,700.$ The marketing group estimates that this rebate will increase sales over the next year from $48,000$ to $63,000$ vehicles. Suppose$$ Honda's profit margin with the rebate is $6,600$ per vehicle. If the change in sales is the only consequence of this$$ decision, what are its benefits and$$ costs? Is it a good$$ idea?