ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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The U.S produces two goods. Micro Lectures (M) and Ice Cream (I) It does so using the function 8M^2 + 2I^2 = 500 Citizens feel that U(M,I) = 10M^0.5I^0.5 Find trade equilibrium using world prices when Pm=2 & Pi =4 Which good is imported and how much of it?
Expert Solution
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Step 1

US produces on the PPF

8M2+2I2=500

The citizens utility is given by,

U(M.I)=10M0.5I0.5

World prices are given by Pm=2 and Pi=4.

First we find the tangential point between the PPF and the price line. The slope of the price line is given by

-PmPi=-12

The slope of the PPF is calculated by,

16MdM+4IdI=odI=-4MdMIdIdM=-4MI

Equating the slopes,

4MI=12I=8M

Plugging that in the PPF equation,

8M2+2*64M2=500M2=500136M=5001362I2=500-8M2=40009I=20009

Now that we know that US budget constraint passes through (500136,20009), we find the equation of the budget constraint as

2M+4I=2*500136+4*20009Say C=2*500136+4*200092M+4I=C

 

 

 

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