(10 points) A small residential community is considering purchasing a smokeless grill for the public area. There are six residents living in this community. Each resident has an identical utility function: ui(G:xi) = (1 + 1%)) xi, where G is the number of grills in the community, and x,- is the amount of money each resident i has to spend on their private goods. Suppose that there is only enough space in the community for one grill, so G is either 0 or 1. Suppose that the price of grills is $480 each. The wealth of each resident is shown in the following table. Resident Umi Victoria Willian Xander Yana Zain '___#____________ Wealth ($) 6,900 7,300 7,500 7,900 8,900 12,000 '_____'___'___,_____ oses that the communitykpurchase the smokeless grill and all residents split the total (b) Yana prop cuts) to pass any cost equally. Assume that it takes a simple majority (more than half of resid proposal, and all residents must vote. Will the proposal pass? Explain. (0) Victoria proposes that the community purchase the smokeless grill and each resident's contribution to the total cost should depend on their wealth. All residents whose wealth is below 8% of their wealth, and all residents whose wealth is higher than or equal $8,500 will contribute 0. ority to pass any 8,500 will contribute 1.2% of their wealth. Assume that it takes a simple maj proposal, and all residents must vote. Will the proposal pass? Explain