Suppose K, L, and M Grow at Constant Rates Given $\bar { g } _ { k }$

question 64

Multiple Choice

Suppose k, l, and m grow at constant rates given by $\bar { g } _ { k }$ And $\bar { g } _ { m }$
What is the growth rate of y if $y = m k ^ { 1 / 3 } l ^ { 2 / 3 } ?$

• A) \(g _ { y } = \bar { g } _ { m } + \bar { g } _ { k } + \bar { g } _ { t }\)
• B) \(g _ { y } = \bar { g } _ { m } \times ( 1 / 3 ) \bar { g } _ { k } \times ( 2 / 3 ) \bar { g } _ { l }\)
• C) \(g _ { y } = \bar { g } _ { m } + ( 1 / 3 ) \left( \bar { g } _ { k } + \bar { g } _ { t } \right)\)
• D) \(g _ { y } = \bar { g } _ { m } + ( 1 / 3 ) \bar { g } _ { k } + ( 2 / 3 ) \bar { g } _ { t }\)
• E) \(g _ { y } = \bar { g } _ { m } + \bar { g } _ { \ell } 1 / 3 + \bar { g } _ { t } 2 / 3\)

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