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    Calculate optimal facility expansion using a tree diagram.

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    A firm that plans to expand its product line must decide whether to build a small or large facility to produce the new products. If it builds a small facility and demand is low, the net present value after deducting for building costs will be $400,000. If demand is high, the firm can either maintain the small facility or expand it. Expansion would have a net present value of $450,000, and maintaining the small facility would have a net present value of $50,000. If a large facility is built and demand is high, the estimated net present value is $800,000.
    If demand turns out to be low, the net present value will be -$10,000.
    The probability that demand will be high is estimated to be .60, and the probability of low demand is estimated to be .40.

    Analyze using a tree diagram.

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    Solution Preview

    I have included a tree diagram in the attached spreadsheet.
    <br>If the firm builds a small facility and demand is high it can either expand or maintain the facility. Since there is no more risk involved ...

    Solution Summary

    This problem evaluates the different product line expansion options for a manufacturing plant based on external factors.