Honda Motor Company is considering offering a $ $1$ comma $700$$$1,700$ rebate on its$$ minivan, lowering the$$ vehicle's price from $ $35$ comma $000$$$35,000$ to $ $33$ comma $300$$$33,300.$ The marketing group estimates that this rebate will increase sales over the next year from $50$ comma $00050,000$ to $62$ comma $00062,000$ vehicles. Suppose$$ Honda's profit margin with the rebate is $ $6$ comma $000$$$6,000$ per vehicle. If the change in sales is the only consequence of this$$ decision, what are its benefits and$$ costs? Is it a good$$ idea?