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Math Help - My professor can't be wrong..can he?

  1. #1
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    My professor can't be wrong..can he?

    I was going through my notes yesterday and came across something that doesn't entirely make sense. I've been working on it for a while but can't seem to get the answer he got. The problem deals with Bertrand Nash Equilibrium, but is mostly a FOILing problem. Anyway here it is.

    =(P-5)x(100-10Pfirm1+5Pfirm2) where P = price
    derivative of profit/derivative of price
    =(P-5)(-10+5)+(1)(100-10Pfirm1+5Pfirm2)

    Here is where I can't figure out why he got what he got.

    He got:
    150+5Pfirm2-20P=0.

    I got:

    125-10Pfirm1+5Pfirm2-5p.

    Any ideas for the discrepancies?
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  2. #2
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    Have you left some bit of info out?
    If not, then I agree with your answer.
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