Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:3. a) Maximise utility u =
0.6,0.5
x°y0 subject to the budget constraint 5x+6y=120. Use the Hessian
to test the second-order condition
b) A monopolistic producer of two related goods faces the demand functions
y = 55+4p, -8p,
His total cost function is TC = 0.2.x² + 2.xy+0.4y. Find the profit maximising level of
= 50-2p, +P,
output if a production quota requires 2x+ 6y = 300. Use the Bordered Hessian to test the
second-order condition
4 2
4. Given A =
3
Find
a) the characteristic roots
b) the characteristic vectors
c) Check the characteristic vectors with the transformation matrix
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