show work and make sure it does not get cut off please! in previous answers i can only see half of the answer

11. Mike has a utility function U(W)=W02, and his initial wealth is $10,000. Mike feels that he faces the following probability distributions of losses with respect to his wealth: Probability Loss amount 80% 0 10% $1,000 10% $8,000 An insurance firm is willing to offer Mike the following two insurance policies. Which one should Mike choose, if he aims to maximize utility? Show calculations. Policy A fully covers all losses for a premium of $1,200; Policy B covers 60% of all losses for a premium of $650; Policy C covers all losses with a deductible of $1,000 for a premium of $1000