Under David Ricardo's theory of comparative advantage, assume you have the following hypothetical marginal cost data (expressed in a common currency) for England and Portugal for the two goods, wine (W) and cloth (C). (Also assume only two countries in the world). MARGINAL COSTS ENGLAND PORTUGAL Wine (W) 8. 2 |Cloth (C) 4 2 If we now let total resource costs to be fixed for each country at 100:

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Under David Ricardo's theory of comparative advantage, assume you have
the following hypothetical marginal cost data (expressed in a common
currency) for England and Portugal for the two goods, wine (W) and cloth
(C). (Also assume only two countries in the world).
MARGINAL COSTS
ENGLAND
PORTUGAL
Wine (W)
8
Cloth (C)
4
2
If we now let total resource costs to be fixed for each country at 100:
3
a) Write down the production possibility equation for England and
Portugal
b) Derive the equations for the rate of product transformation for each of
the two countries
c) Now assume that prior to trade each country devotes half (i.e., 50%)
of its resources to each good, how much wine and cloth will both
England and Portugal produce respectively?
d) Show mathematically that the world output can be unambiguously
increased if England were to produce less wine (W) and more cloth
(C) with the opposite change occurring in Portugal.
e) Would any output pattern short of complete specialization promise an
ambiguous improvement over this allocation?
f) If production possibility curves (PPC) were concave rather than
linear, is complete specialization likely to be efficient?
QUESTION 3
a) State the "infant industry argument". What are the merits and demerits
of this argument?
b) Using simple diagrammatic exposition, show why tariffs are thought
to be inefficient and why they lead to the so-called "cost of
protection". Indicate the effects of tariffs on:
(i)
(ii)
(iii) Production
(iv) Imports
(v)
c) What are quotas? Show why a quota which reduces imports and raises
domestic production of a good to the same level as a tariff may not be
Domestic prices
Consumption
Income
4
equivalent. Under what assumptions would the quota and the tariff be
equivalent?
Transcribed Image Text:Under David Ricardo's theory of comparative advantage, assume you have the following hypothetical marginal cost data (expressed in a common currency) for England and Portugal for the two goods, wine (W) and cloth (C). (Also assume only two countries in the world). MARGINAL COSTS ENGLAND PORTUGAL Wine (W) 8 Cloth (C) 4 2 If we now let total resource costs to be fixed for each country at 100: 3 a) Write down the production possibility equation for England and Portugal b) Derive the equations for the rate of product transformation for each of the two countries c) Now assume that prior to trade each country devotes half (i.e., 50%) of its resources to each good, how much wine and cloth will both England and Portugal produce respectively? d) Show mathematically that the world output can be unambiguously increased if England were to produce less wine (W) and more cloth (C) with the opposite change occurring in Portugal. e) Would any output pattern short of complete specialization promise an ambiguous improvement over this allocation? f) If production possibility curves (PPC) were concave rather than linear, is complete specialization likely to be efficient? QUESTION 3 a) State the "infant industry argument". What are the merits and demerits of this argument? b) Using simple diagrammatic exposition, show why tariffs are thought to be inefficient and why they lead to the so-called "cost of protection". Indicate the effects of tariffs on: (i) (ii) (iii) Production (iv) Imports (v) c) What are quotas? Show why a quota which reduces imports and raises domestic production of a good to the same level as a tariff may not be Domestic prices Consumption Income 4 equivalent. Under what assumptions would the quota and the tariff be equivalent?
QUESTION 1
The first observation to be made about technical progress is that historically,
the rate of growth of outputs over time has exceeded the growth rate that can
be attributed to the growth in conventionally defined inputs. Letting
Q = A(t) f(K, L)
(1)
be the production function for society's output as a whole. The term A(t) in
the function represents all the influences that go into determining Q other
than K (machine-hours) and L (labor-hours) so that changes in A over time
represent technical progress. For this reason, A is shown as a function of
dA
>0
time and presumably dt
; that is, particular levels of labor and capital
become more productive over time.
Using equation (1) above, show:
(e,«.)
a) The elasticity of output with respect to capital input
b) The elasticity of output with respect to labor input
(e,.)
c) Show that the growth rate in output can be broken into the sum of two
components, that is, growth attributed to changes in inputs (K and L)
and other "residual" growth (that is changes in A) that represents
2
(*)
technical progress (Hint: for any variable X, X is the proportional
rate of growth of X per unit of time denoted as G.).
d) Now given Co = 2.75
per year
G¸ =1.00 Percent per year
G =1.75 Percent per year
Co1 = 0.65
ey.k = 0.35
Show the contribution of technical progress as opposed to growth in
physical quantities of factors of production (hint 2: take the total derivative
of equation 1, with respect to time)
QUESTION 2
Under David Ricardo's theory of comparative advantage, assume you have
the following hypothetical marginal cost data (expressed in a common
currency) for England and Portugal for the two goods, wine (W) and cloth
(C). (Also assume only two countries in the world).
MARGINAL COSTS
ENGLAND
PORTUGAL
Wine (W)
8
Cloth (C)
4
2
If we now let total resource costs to be fixed for each country at 100:
Transcribed Image Text:QUESTION 1 The first observation to be made about technical progress is that historically, the rate of growth of outputs over time has exceeded the growth rate that can be attributed to the growth in conventionally defined inputs. Letting Q = A(t) f(K, L) (1) be the production function for society's output as a whole. The term A(t) in the function represents all the influences that go into determining Q other than K (machine-hours) and L (labor-hours) so that changes in A over time represent technical progress. For this reason, A is shown as a function of dA >0 time and presumably dt ; that is, particular levels of labor and capital become more productive over time. Using equation (1) above, show: (e,«.) a) The elasticity of output with respect to capital input b) The elasticity of output with respect to labor input (e,.) c) Show that the growth rate in output can be broken into the sum of two components, that is, growth attributed to changes in inputs (K and L) and other "residual" growth (that is changes in A) that represents 2 (*) technical progress (Hint: for any variable X, X is the proportional rate of growth of X per unit of time denoted as G.). d) Now given Co = 2.75 per year G¸ =1.00 Percent per year G =1.75 Percent per year Co1 = 0.65 ey.k = 0.35 Show the contribution of technical progress as opposed to growth in physical quantities of factors of production (hint 2: take the total derivative of equation 1, with respect to time) QUESTION 2 Under David Ricardo's theory of comparative advantage, assume you have the following hypothetical marginal cost data (expressed in a common currency) for England and Portugal for the two goods, wine (W) and cloth (C). (Also assume only two countries in the world). MARGINAL COSTS ENGLAND PORTUGAL Wine (W) 8 Cloth (C) 4 2 If we now let total resource costs to be fixed for each country at 100:
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