A cost-benefit function C computes the cost in millions of dollars of implementing a city recycling project when x percent of the citizens participate. Suppose the cost-benefit model is:

C(x) = 1.2x/(100 - x).

a) Graph the function in the window [0, 100] by [0, 10].

Draw a simple representation of the graph, and interpret the graph as x approaches 100.

b) If 75% participation is expected, determine the cost for the city (SHOW YOUR WORK), and label the point on your graph:

c) The city plans to spend $5 million on this recycling program. Estimate graphically the percentage of participation they are expecting (plot your point on the graph).

d) Solve part c analytically (SHOW YOUR WORK):