Suppose that Philip, whose total utility of income is given by $\mathrm{U}(\mathrm{I})=\mathrm{I}$, can have two income levels this year: if he keeps his job, he earns $£ 30000$; if he loses his job, he must live on a subsistence payment from the government of $£ 10000$. Philip thinks he has a $50-50$ chance of losing his job when he talks to his boss tomorrow. He is thus considering purchasing employment insurance today. The insurance company will pay him $£ 20000$ if he loses his job; otherwise, it will pay nothing. The insurance payment does not affect the subsistence payment from the government. The insurance costs $£ 10000$, which he must pay now. Using the graph from Question 6 , show the possible income levels Philip faces. Should Philip buy the insurance ? Explain.