Final answer:
The visual appearance of the campus is classified as a public good because it is non-rival and non-excludable. The college should proceed with the beautification initiative as the benefit exceeds the cost. Distorted willingness-to-pay data can arise if students believe they'll be charged or due to the free rider problem.
Step-by-step explanation:
The visual appearance of the campus is non-rival and non-excludable. Thus, the visual appearance would be classified as a public good. If the average willingness-to-pay for the beautification project is $17 per student, with 490 students, the total benefit is 490 students × $17/student = $8,330.
Since the estimated benefit of $8,330 is greater than the cost of $8,160, the college administrators should undertake the beautification initiative.
Several scenarios could lead to distorted willingness-to-pay data in the survey: if students believe they will eventually be charged their willingness-to-pay amount leading to them undervaluing their true willingness, or if they believe their payment may not influence the outcome and hence avoid revealing their true preferences due to the free rider problem.
The inclusion of equal numbers of male and female students is irrelevant to the willingness-to-pay data so long as the student body's demographics are fairly represented.