xy a) Consider an economy with 3 agents, Mohammed (M), David (D) and Susan (S). There are two goods available, good x, and good y. The marginal rates of substitution (where good x is on the horizontal axis and good y is on the vertical axis) are given by MRS = 2y/x for Mohammed, MRSD = 2y₁/x for David and MRS = y/x for Mohammed and David are both consuming twice as much of the good x than good y, while Susan is consuming equal amounts of x and y. What are the conditions for Pareto efficiency in an exchange economy? Are these consumption levels economically efficient? Can these consumption allocations be observed in a perfectly competitive equilibrium in an exchange economy without production? Explain. improve efficiency. Can these production levels of the two firms be observed in a perfectly competitive equilibrium of a production and exchange economy? Explain. c) State the first theorem of welfare economics of a production and exchange economy. Which conditions must be satisfied for the Pareto efficiency of an allocation of a production and exchange economy (assuming that all goods are used, produced and consumed in strictly positive quantities)? Discuss and explain.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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xy
a) Consider an economy with 3 agents, Mohammed (M), David (D) and Susan (S). There are
two goods available, good x, and good y. The marginal rates of substitution (where good x is
on the horizontal axis and good y is on the vertical axis) are given by MRSM =
2yM/X for
Mohammed, MRS 2y₁/x for David and MRS = y/x for Mohammed and David are
both consuming twice as much of the good x than good y, while Susan is consuming equal
amounts of x and y. What are the conditions for Pareto efficiency in an exchange economy?
Are these consumption levels economically efficient? Can these consumption allocations
be observed in a perfectly competitive equilibrium in an exchange economy without
production? Explain.
improve efficiency. Can these production levels of the two firms be observed in a perfectly
competitive equilibrium of a production and exchange economy? Explain.
c) State the first theorem of welfare economics of a production and exchange economy.
Which conditions must be satisfied for the Pareto efficiency of an allocation of a production
and exchange economy (assuming that all goods are used, produced and consumed in
strictly positive quantities)? Discuss and explain.
Transcribed Image Text:xy a) Consider an economy with 3 agents, Mohammed (M), David (D) and Susan (S). There are two goods available, good x, and good y. The marginal rates of substitution (where good x is on the horizontal axis and good y is on the vertical axis) are given by MRSM = 2yM/X for Mohammed, MRS 2y₁/x for David and MRS = y/x for Mohammed and David are both consuming twice as much of the good x than good y, while Susan is consuming equal amounts of x and y. What are the conditions for Pareto efficiency in an exchange economy? Are these consumption levels economically efficient? Can these consumption allocations be observed in a perfectly competitive equilibrium in an exchange economy without production? Explain. improve efficiency. Can these production levels of the two firms be observed in a perfectly competitive equilibrium of a production and exchange economy? Explain. c) State the first theorem of welfare economics of a production and exchange economy. Which conditions must be satisfied for the Pareto efficiency of an allocation of a production and exchange economy (assuming that all goods are used, produced and consumed in strictly positive quantities)? Discuss and explain.
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