A farmer is going to divide her 30-acre farm between two crops. The seed for crop A costs $25 per acre. The seed for crop B costs $50 per acre. The farmer can spend at most $1250 on the seed. If crop B brings in a profit of $210 per acre, and crop A brings in a profit of $110 per acre, how many acres of each crop should the farmer plant maximize her profit?
? acres of crop A
? acres of crop B

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 $ .