8. An economy is endowed with = 100 units of capital and L= 200 units of labor. Two goods are produced: mugs and spoons. The production function for mugs is given by K= M(Km, Lm) = √ Km Lm. And the production function for teaspoon is T (KT, LT) = KT¹/3 L2/3 a. Find the relationship between capital labor ratio in mug production and capital labor ratio in teaspoon production that must prevail when the production is efficient.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter9: Production Functions
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8. An economy is endowed with K = 100 units of capital and L=200 units of labor.
Two goods are produced: mugs and spoons. The production function for mugs
is given by
M(Km, Lm) = √ Km Lm.
And the production function for teaspoon is
T (KT, LT) = KT¹/3 L2/3
Find the relationship between capital labor ratio in mug production and capital
labor ratio in teaspoon production that must prevail when the production is
efficient.
Transcribed Image Text:8. An economy is endowed with K = 100 units of capital and L=200 units of labor. Two goods are produced: mugs and spoons. The production function for mugs is given by M(Km, Lm) = √ Km Lm. And the production function for teaspoon is T (KT, LT) = KT¹/3 L2/3 Find the relationship between capital labor ratio in mug production and capital labor ratio in teaspoon production that must prevail when the production is efficient.
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