Honda Motor Company is considering offering a $$2,000$ rebate on its$$ minivan, lowering the$$ vehicle's price from $$29,500$ to $$27,500$ The marketing group estimates that this rebate will increase sales over the next year from $39,000$ to $56,200$ vehicles. Suppose$$ Honda's profit margin with the rebate is $$6,200$ per vehicle. If the change in sales is the only consequence of this$$ decision, what are its costs and$$ benefits? Is it a good$$ idea?$$ Hint: View this question in terms of incremental profits.