The growth of tumor cells in a culture depends on the amount of nutrients in the culture, Cell production can be determined by counting the number of cells. The effects of various
concentrations of glucose and calcium on the growth of three different cell types were tested. Each
culture dish began the test with 0.5 million cells, to which was added a solution containing known
concentrations of either glucose or calcium The results after three days are shown below.
Cells per Culture Dish (millions)
Cell Type A
Cell Type B
Cell Type C
0.2
0.4
0.6
0.8
Glucose (mg/ml)
Figure 1
4
3.5
3
2.5
Cells per Culture Dish (millions)
2
-Cell Type A
Cell Type B
Cell Type C
1.5
1
0.5
0
5
10
15
20
Calciun (UM)

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 $ .