Onur is participating in a walkathon fundraiser. two donors promised to donate money based on the total distance he walks. the money, a , in dollars, that he receives from the first donor given that he walks d kilometers is given by the formula a ( d ) = 10d. the money, b , in dollars, that he receives from the second donor given that he walks d kilometers is given by the formula b ( d ) = 2 d + d 2. let t be the total money that onur raises from those donors by walking d kilometers in the walkathon.

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .