You own Earthworm Excavators.  Your company is the sole manufacturer of super-sized excavators that are used in the world’s largest mining operations. The U.S. has recently lifted export restrictions on the product you sell, so you can now sell your equipment in the world market along with sales in the domestic market. You hire an economist to estimate the following (inverse) demand curves per year for these distinct markets:  Domestic market : Pd = $1200 - $10Qd Foreign market : Pf = $600 - $5Qf  where P refers to prices charged in each market in thousands of dollars and Q refers to the annual quantities demanded in each market.  The total costs (in thousands of dollars) of your annual operation are given by: TC = 900 + 200Q   a.    If you decide to offer you machines at a single price to all potential buyers, at what price will the foreign buyers be priced out of the market? b.    What is the market demand function if you decide to offer the machines to all potential buyers at a single price?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4: Estimating Demand
Section: Chapter Questions
Problem 7E
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You own Earthworm Excavators.  Your company is the sole manufacturer of super-sized excavators that are used in the world’s largest mining operations. The U.S. has recently lifted export restrictions on the product you sell, so you can now sell your equipment in the world market along with sales in the domestic market. You hire an economist to estimate the following (inverse) demand curves per year for these distinct markets:

 Domestic market : Pd = $1200 - $10Qd
Foreign market : Pf = $600 - $5Qf 

where P refers to prices charged in each market in thousands of dollars and Q refers to the annual quantities demanded in each market.  The total costs (in thousands of dollars) of your annual operation are given by:

TC = 900 + 200Q
 

a.    If you decide to offer you machines at a single price to all potential buyers, at what price will the foreign buyers be priced out of the market?
b.    What is the market demand function if you decide to offer the machines to all potential buyers at a single price?
c.    If you decide to offer your machines at a single price, what price will you charge and how many units will you sell? How many of the machines will be sold in each market?
d.    If you decide to offer the machines for sale to each market at different prices (i.e., engage in third-degree price discrimination), what price will you charge in each market and how many units will be sold in each market?
e.    Compare the profits under the two pricing strategies. Comment on the comparison.

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