The following hypothetical data give the participation rates in a particular type of recycling program and the number of trucks purchased for collection by 10 towns in a small mid-Atlantic state:

The town of Eleven is contemplating initiating a recycling program but wishes to achieve a 95 percent rate of participation. Using a probit model for your analysis,

a. How many trucks would the town expect to have to purchase to achieve its goal?

b. If trucks cost $20,000 each, then is a goal of 90 percent reachable within a budget of $6.5 million? (That is, should they expect to reach the goal?)

c. According to your model, what is the marginal value of the 301st truck in terms of the increase in the percentage participation?

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Town 1 3 4 6 7 8 10 Trucks 160 250 170 365 210 206 203 305 270 340 Participation% 11 74 8 87 62 83 48 84 71 79