After deciding to get a new car, you can either lease the car or purchase

it with a three$-$year loan. The car you wish to buy costs $$38,000.$ The dealer has a special leasing

arrangement where you pay $$2,500$ today and $$425$ per month for the next three years. If you

purchase the car, you will pay it off in monthly payments over the next three years at an APR of $3\mathrm{.}8$

percent, compounded monthly. You believe that you will be able to sell the car for $$24,500$ in three

years. Should you buy or lease the car? What break$-$even resale price in three years would make you

indifferent between buying and leasing?