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Efficient Allocation of
Resources in the
economy
Production Possibilities
 Resource
and technological
limitations restrict what an economy
can produce.
 The set of all feasible output bundles
is the economy’s production
possibility set.
 The set’s outer boundary is the
production possibility frontier.
Production Possibilities
Coconuts
Production possibility frontier (ppf)
Fish
Production Possibilities
Coconuts
Production possibility frontier (ppf)
Production possibility set
Fish
Production Possibilities
Coconuts
Feasible but
inefficient
Fish
Production Possibilities
Coconuts
Feasible and efficient
Feasible but
inefficient
Fish
Production Possibilities
Coconuts
Feasible and efficient
Infeasible
Feasible but
inefficient
Fish
Production Possibilities
Coconuts
Ppf’s slope is the marginal rate
of product transformation.
Fish
Production Possibilities
Coconuts
Ppf’s slope is the marginal rate
of product transformation.
Increasingly negative MRPT
 increasing opportunity
cost to specialization.
Fish
Production Possibilities
 If
there are no production
externalities then a ppf will be
concave w.r.t. the origin.
 Why?
Production Possibilities
 If
there are no production
externalities then a ppf will be
concave w.r.t. the origin.
 Why?
 Because efficient production
requires exploitation of comparative
advantages.
Comparative Advantage
 Two
agents, RC and Man Friday (MF).
 RC can produce at most 20 coconuts
or 30 fish.
 MF can produce at most 50 coconuts
or 25 fish.
C
Comparative Advantage
RC
20
C
50
30
MF
25
F
F
C
20
C
50
Comparative Advantage
RC
MRPT = -2/3 coconuts/fish so opp. cost of one
more fish is 2/3 foregone coconuts.
30
MF
25
F
F
C
20
C
50
Comparative Advantage
RC
MRPT = -2/3 coconuts/fish so opp. cost of one
more fish is 2/3 foregone coconuts.
30
MF
F
MRPT = -2 coconuts/fish so opp. cost of one
more fish is 2 foregone coconuts.
25
F
C
20
C
50
Comparative Advantage
RC
MRPT = -2/3 coconuts/fish so opp. cost of one
more fish is 2/3 foregone coconuts.
30
MF
F
RC has the comparative
opp. cost advantage in
producing fish.
MRPT = -2 coconuts/fish so opp. cost of one
more fish is 2 foregone coconuts.
25
F
C
20
C
50
Comparative Advantage
RC
MRPT = -2/3 coconuts/fish so opp. cost of one
more coconut is 3/2 foregone fish.
30
MF
25
F
F
C
20
C
50
Comparative Advantage
RC
MRPT = -2/3 coconuts/fish so opp. cost of one
more coconut is 3/2 foregone fish.
30
MF
F
MRPT = -2 coconuts/fish so opp. cost of one
more coconut is 1/2 foregone fish.
25
F
C
20
C
50
Comparative Advantage
RC
MRPT = -2/3 coconuts/fish so opp. cost of one
more coconut is 3/2 foregone fish.
30
MF
F
MRPT = -2 coconuts/fish so opp. cost of one
more coconut is 1/2 foregone fish.
MF has the comparative
opp. cost advantage in
producing coconuts.
25
F
C
Comparative Advantage
RC
Economy
C
20
70
C
50
30
MF
25
Use RC to produce
fish before using MF.
F
Use MF to
produce
coconuts before
using RC.
50
F
30
55
F
C
Comparative Advantage
RC
Economy
C
20
70
C
50
30
MF
25
F
Using low opp. cost
producers first results
in a ppf that is concave
w.r.t the origin.
50
F
30
55
F
Comparative Advantage
Economy
C
More producers with
different opp. costs
“smooth out” the ppf.
F
Coordinating Production &
Consumption
 MRPT  inefficient
coordination of production and
consumption.
 Hence, MRS = MRPT is necessary for
a Pareto optimal economic state.
 MRS
Decentralized Coordination of
Production & Consumption
 Competitive
markets, profitmaximization, and utility
maximization all together cause
pF
MRPT  
 MRS ,
pC
the necessary condition for a Pareto
optimal economic state.
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