Over the course of a year, visitors to an attraction are sampled at a rate of 1 in 100 to determine their zone of origin. The data and the estimated totals are shown in Table 4.1. The distance between the zones and attraction is shown in Table 4.2. The cost per kilometre of travel is $0.30.

Table 4.1. Visitors and their zone of origin

Zone	Number sample	Zone Population	Estimated total number of visits
1	532	354700	53200
2	1247	959200	124700
3	1898	1898000	189800
4	429	536250	42900
5	2943	5886000	294300

Table4.2. Distance and cost of travel to attraction from zone of origin

Zone	Mean round trip distance in kilometres	Cost per kilometres
1	20	$0.30
2	40	$0.30
3	80	$0.30
4	160	$0.30
5	300	$0.30

a. Construct a diagram showing the estimated demand relationship (travel cost per visit vs annual visit rate) for the attraction. In the diagram, show the difference between the following scenarios: I. if no consumers are willing to pay more than $90 to visit the park, II. if consumers are willing to pay more than $90 to visit the park. b. Explain what would happen to the demand relationship in (a)II if an entry fee was charged for the attraction in general and using a numerical example of a zone. Assume that consumers are willing to pay more than $90 to visit the park.