6. (10 points) Five households live in Small Town. They would like a small park to be built by the lake. They each have a demand curve for the park given by the following equation: Q - 600 - P, where Q represents the area in terms of square metres that will be allocated for the park. The cost of building the park is $200 per square metre. a) Is the park a public good in this context? Why or why not? b) If the five households do not share the cost, with individual decision making, what is the maximum area that would be built? What is the minimum are that would be built? Briefly explain your reasoning. c) Suppose all households agree to share the cost to build a park. What is the optimal area to be built? d) If the individual demand function is private information, will this optimal area necessarily be built by the five households Explain why or why not