interesting math

Discussion in 'Business & Economics' started by squid, Mar 1, 2004.

  1. squid Registered Senior Member

    Messages:
    56
    currently stuck on this problem:

    Two economies, Hare and Tortoise, each start with a real GDP per person of $5000 in 1950. Real GDP per person grows 3% per year in Hare and 1% per year in Tortoise. In the year 2000, what will be the real GDP per person in each country?

    thanks!
     
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  3. zanket Human Valued Senior Member

    Messages:
    3,777
    For Hare, in the Windows calculator choose Scientific from the View menu, then enter 1.03 (for 103% annually) then choose the x^y (x to the power of y) button, then enter 50 (years), then =*5000= to get $21,920. Do likewise for Tortoise.
     
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  5. squid Registered Senior Member

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    cool, thanks
     
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  7. squid Registered Senior Member

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    56
    Help:

    Airport noise is a big problem in a neighborhood area. The local realtors are worried about the decline in the home value associated with with airport noise. The realtors form a strong group to negotiate with the airport authority. The current property rights are in favor of the airport authority. The realtors want the property rights to be evenly distributed. The airport authority's marginal private benefits(MPB to passengers who demand air travel) and marginal private cost (MPC) are as follows:

    (equation 1) MPB = 15 -2Q
    (equation 2) MPC = 6 + Q

    where Q is the number of flights take off and landing per hour, MPB represents per passenger benefit of traveling, and MPC represents the cost to airport authority per passenger.

    The cost external to the airport authority, which is inflicted to the realtors is called the marginal external cost (MEC), and is given as:

    (equation 3) MEC = 1+ Q

    (a) Explain using equation (3) how number of flight per hour influences the marginal external cost.

    (b) Contruct the following four columns based on equations (1), (2), and (3) above for Q running form 0 to 8.

    (Columns ====>) Q MPB MPC MEC MSC

    (c) In the absence of mutual negotiation (bargaining) what is the privatel;y optimal number of flights per hour? You need to use the table constructed in (b) above to answer this.

    (d) If negotiation between the airport authority and the group of realtors is succesful, what will be the socially optimal number of flights per hour? You need to use the table constructed in (b) above to answer this.

    Thanks!
     

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