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Math Help - Decision Tree Analysis

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    Decision Tree Analysis

    Can someone help me out with this question. I'm attempted to do it, but I'm not sure where I'm going right or wrong. The math is relatively easy, it's just putting things together in perspective.

    T&C Inc. is a manufacturing firm that produces health care equipment. The company is owned by two
    brothers, Thomas and Clinton Hunter, and has one plant. The company has experienced
    significant growth in demand, and the current plant does not appear to have
    sufficient capacity to meet demand.

    The company has decided to build a new plant to
    meet the additional capacity. However, the brothers must decide whether to construct
    a small, medium, or large plant.

    The brothers hired a forecasting consultant to
    predict demand. The consultantís report indicates that there is a 25 percent chance
    that the demand will be low and a 75 percent chance that the demand will be high.

    If
    T&C Inc. builds a small facility and the demand indeed turns out to be low, the
    consultant expects net profit of $40 million. If the firm builds a small plant and
    the demand turns out to be high, then the firm has two options: (1) subcontract or
    (2) expand the facility. If T&C Inc. decides to subcontract, the expected net
    return will be $44 million. If the firm expands the new facility, there is a 40
    percent chance that the net return will be $42 million and a 60 percent chance that
    the net return will be $48 million.

    If the medium‐size facility is constructed and
    the demand turns out to be low, the net return is estimated at $28 million. However,
    if the medium‐size facility is built and the demand turns out to be high, Jo‐Jo Inc.
    has two options: (1) do nothing, for an expected net return of $48 million, or (2)
    expand. If the firm decides to expand, there is a 35 percent chance that it will earn
    a net return of $44 million and a 65 percent chance that it will earn a net return of
    $54 million.

    If the firm decides to build a large facility and demand turns out to be
    low, the net return will be $10 million. However, if the firm decides to build a
    large plant and the demand turns out to be high, the expected net return is $58
    million. Use decision tree analysis and determine the best option for T&C Inc



    Now I've already attempted the question, but I'm ot sure if my perspective is right or not in my analysis. I'll just write down what I have, and if you can answer either by using a tree diagram or just by text, either would be helpful.


    Will be edited .... format didn't work.


    Decision 1 = Small, Medium or Large

    Small = .25 dem = 40M
    .75 dem = subcontract at 44M
    expand at option (40%) = 42M or option 2 = 48M

    Meidum = .75 dem = Do nothing = 48M
    Expand = option 1 (35%) = 44m OR OPTION 2 (65%) = 54%

    .25 dem = 28M

    Large = .25 dem = 10M
    .75 dem = 58M


    Does this look accurate to you? I have yet to do the actual math for the decisions to evaluate it , but before I do that I want to know if the decision tree looks accurate. Can anyone give me any help for this? Much appreciate, thanks.
    Last edited by agent2421; October 20th 2013 at 03:24 PM.
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