Show that at the solution you found in (c), the tangency condition is satisfied: M RS = p1/p2. (d) (e) How did the '50' in the utility function influence the optimal con- sumption bundle? How did the '10' in the utility function influence the optimal consumption bundle? (i.e., how would the optimal bun- dle change if these coefficients were to change?). How would the optimal bundle change if the utility function was xx2? Lastly, how would the optimal bundle change if the utility function was log- linear: 2 ln x1+ In x2?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.11P
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Need help with part d & e

Show that at the solution you found in (c), the tangency condition
is satisfied: M RS = p1/p2.
(d)
(e)
How did the '50' in the utility function influence the optimal con-
sumption bundle? How did the '10' in the utility function influence
the optimal consumption bundle? (i.e., how would the optimal bun-
dle change if these coefficients were to change?). How would the
optimal bundle change if the utility function was xx2? Lastly, how
would the optimal bundle change if the utility function was log-
linear: 2 ln x1+ In x2?
Transcribed Image Text:Show that at the solution you found in (c), the tangency condition is satisfied: M RS = p1/p2. (d) (e) How did the '50' in the utility function influence the optimal con- sumption bundle? How did the '10' in the utility function influence the optimal consumption bundle? (i.e., how would the optimal bun- dle change if these coefficients were to change?). How would the optimal bundle change if the utility function was xx2? Lastly, how would the optimal bundle change if the utility function was log- linear: 2 ln x1+ In x2?
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