Phil dunphy, a real estate agent, is considering whether he should list an unusual $903,412 house for sale. if he lists it, he will need to spend $4,945 in advertising, staging, and fresh cookies. the current owner has given phil 6 months to sell the house. if he sells it, he will receive a commission of $18,567. if he is unable to sell the house, he will lose the listing and his expenses. phil estimates the probability of selling this house in 6 months to be 45%. what is the expected profit on this listing?