Please help with two economics question!

Discussion in 'Economics' started by myusernameistak, May 5, 2011.

  1. Hi there,

    I need to revise for my upcoming examinations but the teacher has failed to put up solutions for the following two questions. I would be grateful for any help on this. many thanks.

    <b>Question 1</b>
    Consider the cost functions faced by a duopoly comprising two firms: A and B:

    CA = 12 + qA, where CA denotes cost in dollars and qA is the quantity in kilograms

    Firm B:
    CB = 12 + qB , where CB denotes cost in dollars and qB is the quantity in kilograms

    The demand function is given by
    P = 100 – Q, where Q = industry output = qA + qB

    REQUIRED:
    a) Calculate the profit maximising level of output qA and qB for firms A and B, respectively.

    b) Calculate the price P at the above level of output.

    c) Calculate the profits made by each of the firms, Firm A and Firm B

    d) If Firm A holds output at qA = 23, and Firm B also keeps output at qB = 23, Calculate the profits made by each of the firms, Firm A and Firm B

    e) Point out the salient aspects of a comparison between output and profit levels in (c) and (d)
    above.

    f) Is the output level qA = qB = 23 a Nash equilibrium?



    <b>Question 2</b>

    Consider the following payoff matrix between two bakeries:

    Please click here to see the table:
    http://img849.imageshack.us/img849/659/shanti.png

    Choose the best answer from the list below, and give reasons for your choice:

    a) The Nash equilibrium is not a pareto optimum
    b) The Nash equilibrium is a pareto optimum
    c) Airline A’s dominant strategy is to cut price
    d) Airline B has no dominant strategy.


    Once again, many thanks in advance for anyone who can help. :)