You have been commissioned to estimate the demand curve for admission to EuroLand, an amusement park in France. To do this, you spend a day surveying visitors to the park. Before doing this, you divide the area around the park into 10 zones, with the distance from the park approximately constant within a zone. You ask each person you interview where they come from. Based on that information, and figures on annual attendance at the park, you are able to calculate the annual number of visitors from each zone. Your data are shown below:

You note that admission to EuroLand is 150 euros per person. You also calculate that transportation costs, including time costs, are approximately \(1 / 2\) euro per person per kilometer in each direction. Ignore the value of time in the park.
Calculate the demand curve for visits to EuroLand, showing visits as a function of the entry price. How many fewer visitors would you expect there to be if the management raised the admission fee to 200 euros?

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Distance from Number of Zone park (km) Zonal population visitors 1 10 5,000 500 2 20 10,000 900 10 34567890 30 25,000 2,000 40 10,000 700 50 100,000 6,000 60 500,000 25,000 70 200,000 8,000 80 50,000 1,500 90 100,000 2,000 100 100,000 1,000