#24. The dual problem to the one described in problem 2.3 is minimize X+y subject to xy =0.25 Solve thi problem using the Lagrangian technique. Then Compare the value you get tor the Logrange Multiplier uwith the value you got in Problem 2-3. Explain the relatiouship between the two solutibns
#24. The dual problem to the one described in problem 2.3 is minimize X+y subject to xy =0.25 Solve thi problem using the Lagrangian technique. Then Compare the value you get tor the Logrange Multiplier uwith the value you got in Problem 2-3. Explain the relatiouship between the two solutibns
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.4P
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Transcribed Image Text:23. Guppse that fra,u)= T4. Find the maximum
Value for fif x and y are constrained
o sum to 1. Solve thiis problems in two
ways : by substitutiou and by using
the Logrange Multiplier method.
X+y=1. F.y) =ry, 4=1-x.
to
->
%3D
tx =-2x+1.maximum value → frx=o. X=E
タニリニー
1-X-4 = 0
エ=f(Y,4)+A (1-g%-4) = x4ナA(1-%-4 )
= y-A, = x-1,
of
of
1-ベ-4
→ 1-2y=0. X=立,
%3D
=0= y=X
=07 X= À
%3D
#2-4. The dual problem to the one described in
problem 2.3 is minimiz2e xty
subject to xy =0.25
Solve thi problem using the Lagrangian
technique. Then Compare the value You get
tor the Logrange Multiplier wrth the value
you got in Prolem 2-3. Explain the relatibuship
between the two solutibns
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