Problem 4. 20 Points Suppose there are 1,000 voters in Stony Brook. A total of 400 are willing to pay up to $25 each for the construction of a Park, whereas the other 600 are willing to pay only S10. The construction of the Park will cost $12,000. Someone proposes a vote on whether to tax each citizen $12 in order to finance the Park. (a) What will be the result according to the median voter model? Is this result socially efficient? Explain (b) What if instead of beign willing to pay up to $25 each, the 400 residents are willing to pay up to S50 each