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Math Help - management problem- please help

  1. #1
    May 2008

    management problem- please help

    I need help soon, please!!!
    the question goes,

    Joe is the breadwiner for her family, and it is Dec. 1 of the current year. The amount N of uninsured medical expenses that her family will incur druing next year is uncertain.
    US tax law allows Joeto prepay any amount q of her medical expense in a way that can save money by reducing federal and state income tax. His marginal income tax rate is 40%. Joe's uninsured medical expense X for the forthcoming year is uncertain. Based on past experience, Joe estimates that X is normally distributed.Its distribution is normal with mean of $3500 and SD of $1200. Joe can declare an amount q of uninsured prepaid medical expense. His salray for the year is reduced by q dollars. Joe's company reimubrses him for the first q dollars. He pays any excess (X-q)+ out of after-tax income. Prepaying q dollars of medical expenses saves Joe 0.4q in after -tax income because he does not pay taxes on the amount reduced from his salary. But there is a donwside. The law requires Joe's employer to keep any excess (q-X)+ of Joe's prepaid medical expenses over his actual medical expense. Joe's goal is to prepay the amount q* that maximizes the expectation of his after-tax income.
    (a) What amount q* should Joe choose? Justify.
    (b) for q* selected compute
    (1) prob. that joe will need to pay for any uninsured emdical expense with after-tax dollars.
    (2) prob. that joe's company will pay fewer than q* dollars toward Joe's uninsured medical expense.
    (3) expectation of amount of uninsured medical expense that Joe will pay with after-tax dollars.
    (4) expectation of amount by which q* exceeds amount of Joe's uninsured medical expense that his company will pay.
    (5) expectation of increase in after-tax income that Joe garners from prepaying q* dollars of medical expense.
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  2. #2
    Grand Panjandrum
    Nov 2005
    Perhaps you did not get the message with the infraction I gave you last time you double posted this question.

    Posting the same question multiple times wastes everyone's time.

    Ignoring infractions and posting the same thing again p**s-off the moderators and that is worse, if I have to infract you again I will not, I will ban you.

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