1. if the product of the integers a, b, and c is 1, then what is the difference between the largest and the smallest possible values of a^2*b^3*c^4?
a. -2 b. -1 c. 1 d. 2

2. hats are purchased at the rate of $33 per dozen. if they are sold at a closeout sale for $2.50 each, the percent loss on the cost price is:
a. 3 b. 3 1/3 c. 9 1/11 d. 10

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 $ .