1 consider a country with sh skilled workers and uch unskilled workers
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1. Consider a country with SH skilled workers and Uч unskilled workers. There are two
final goods, indexed by 0 and 1, and the respective production functions are
Fo(S,U)= min{S, U}, F₁(S,U)=S+U.
Essentially, workers must work in a team of one skilled worker and one unskilled worker
to produce good 0, and they can produce good 1 by themselves. Write pw for the price of
good w€ {0,1} and write us and wu for skilled and unskilled wages.
a. Suppose po/P1 > 2. Set up a diagram with the unit-revenue curves for this economy
and show the possible factor prices (ws, wu) implied by this diagram, assuming that both
goods are produced.
b. In the context of a, determine output and factor prices when 0 < SH < Uн. Do the
same for the case SH > UH > 0.
c. Suppose po/p1 < 2. Set up a diagram with the unit-revenue curves for this economy
and show what will happen given any factor endowments SH > 0 and UH > 0. What do
you know about factor prices in this case?
d. Show the production possibility set for this economy and confirm the conclusions
about output you reached in a, b and c.