$2.$ A construction company is considering submitting a bid on a contract that is worth $$900,000.$ The research and planning needed to write up the bid will cost $$40,000.$ If they are awarded the contract, they will incur an additional $$600,000$ in expenses to perform the work specified in the contract. Would you advise the company to spend the $$40,000$ if the bid has only a $20\%$ chance of being accepted? Use the expected profit $($loss$)$ to determine why or why not.