Use Worksheet $8\mathrm{.}1$ Sophie Lopez is a $72-$year$-$old widow who has recently been diagnosed with Alzheimer's disease. She has limited financial assets of her own and has been living with her daughter Felicity for $2$ years. Her only income is $$600$ a month in Social Security survivor's benefits. Felicity wants to make sure that her mother will be taken care of if Felicity should die prematurely. Felicity, $40,$ is single and earns $$75,000$ a year as a human resources manager for a small manufacturing firm. She owns a condo with a current market value of $$90,000$ and has a $$70,000$ mortgage. Other debts include a $$4,000$ auto loan and $$500$ in various credit card balances. Her $401($k$)$ plan has a current balance of $$24,000,$ and she keeps $$10,500$ in a money market account for emergencies. After talking with her mother's doctor, Felicity believes that her mother will be able to continue living independently for another $3$ years. She estimates that her mother would need about $$1,400$ a month to cover her living expenses and medical costs during this time. After that, Felicity's mother will probably need nursing home care. Felicity calls several local nursing homes and finds that it will cost about $$5,000$ a month when her mother enters a nursing home. Her mother's doctor says it is difficult to estimate her mother's life expectancy but indicates that, with proper care, some Alzheimer's patients can live $10$ years after diagnosis. Felicity also estimates that her personal final expenses would be around $$8,000,$ and she'd like to provide a $$15,000$ contingency fund that would be used to pay a trusted friend to supervise her mother's care if Felicity were no longer alive. Use Worksheet $8\mathrm{.}1$ to calculate Felicity's total life insurance requirements. In your analysis, assume an incidental special need amount of $$8,000.$