Tolbotics Inc. is considering a three$-$year project that will require an initial investment of $$41,000.$ If market demand is strong, Tolbotics Inc. thinks that the project will generate cash flows of $$29,000$ per year. However, if market demand is weak, the company believes that the project will generate cash flows of only $$1,750$ per year. The company thinks that there is a $50\%$ chance that demand will be strong and a $50\%$ chance that demand will be weak.If the company uses a project cost of capital of $13\%,$ what will be the expected net present value $($NPV$)$ of this project? $($Note: Do not round intermediate calculations and round your answer to the nearest whole dollar.$)-$$$4,227-$$$4,697-$$$3,758-$$$5,167$