A coach has a maximum budget of $50 to spend on sports drinks and protein snack bars A sports drink costs $0.75 each and a protein bar costs $1.25 each . Prices include tax. If represents the number of sports drinks purchased and p represents the number of protein bars purchased , which inequality could be used to find purchase combinations of each that do not go over the budget ?

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 $ .