A U.S. electronics manufacturer is considering moving its production abroad. Suppose its production function is
q=L^(0.8)K^(0.2)
In the United States,
w=$8
and
r=2
. In Mexico, the wage is
20%
lower than in the United States but the firm faces the same cost of capital:
w^(**)=$6.40
and
r^(**)=2
.
What are
L
and
K
and what is the cost of producing
q=100
units in both countries? (for all of the following questions, enter a numeric response using a real number rounded to two decimal places)
In the U.S.,
L
is
◻
K
is
◻
and the cost of production is $
◻
In Mexico, L is
◻
,
K
is
◻
and the cost of production is
$
◻