Willy's Only Source of Wealth Is His Chocolate Factory

Multiple Choice

Willy's only source of wealth is his chocolate factory.He has the utility function pc^1/2_f + (1 - p) c^1/2_nf, where p is the probability of a flood, 1 - p is the probability of no flood, and c_f and c_nf are his wealth contingent on a flood and on no flood, respectively.The probability of a flood is p = 1/4.The value of Willy's factory is $300,000 if there is no flood and $0 if there is a flood.Willy can buy insurance where if he buys $x worth of insurance, he must pay the insurance company $5x/18 whether there is a flood or not but he gets back $x from the company if there is a flood.Willy should buy

A) enough insurance so that if there is a flood, after he collects his insurance, his wealth will be 1/25 of what it would be if there were no flood.
B) enough insurance so that if there is a flood, after he collects his insurance, his wealth will be the same whether there was a flood or not.
C) no insurance since the cost per dollar of insurance exceeds the probability of a flood.
D) enough insurance so that if there is a flood, after he collects his insurance, his wealth will be 1/6 of what it would be if there were no flood.
E) enough insurance so that if there is a flood, after he collects his insurance his wealth will be 1/11 of what it would be if there were no flood.