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UCLA
Economics 11 – Fall 2009
Professor Mazzocco
Problem Set 1
Due by October 8 before 9:00am in Room 8271 (8
th
Floor of Bunche Hall)
1: Unconstrained Optimization (1 exogenous variable)
Find the value of
x
that maximizes
y
=100−(4−7
x
)
2
. Make sure it is a maximum by
checking the Second Order Conditions and plotting the function.
2: Unconstrained Optimization (2 exogenous variables)
Find the values of (
x
1 ,
x
2) that maximizes the expression y = 9x
1
1/3
x
2
1/3
–3 x
1
– 3x
2
3: Constrained Optimization (2 exogenous variables)
Find the values of (
x
1 ,
x
2) that maximizes the expression y=20x
1
1/2
x
2
1/2
subject to the
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This note was uploaded on 11/20/2009 for the course ECON 180052110 taught by Professor Mcdevitt during the Fall '09 term at UCLA.
 Fall '09
 McDevitt
 Economics

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