inction: Consider the 'Cobb-Douglas' production function: f(k;, n4) = ki'n}-a where a is an exogenous parameter that determines the share of output produced by each factor of production. Assume that capital and labor inputs, k and ne, must be positive and that 0

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider the 'Cobb-Douglas' production
function:
2. Consider the 'Cobb-Douglas' production function:
1-a
f(ke, ne) = k;"n}"
where a is an exogenous parameter that determines the share of output produced by each
factor of production. Assume that capital and labor inputs, k and nų, must be positive
and that 0<a < 1.
Mathematically show the following:
(a) An increase in k will increase the marginal product of labor.
(b) An increase in nų will increase the marginal product of capital.
Transcribed Image Text:Consider the 'Cobb-Douglas' production function: 2. Consider the 'Cobb-Douglas' production function: 1-a f(ke, ne) = k;"n}" where a is an exogenous parameter that determines the share of output produced by each factor of production. Assume that capital and labor inputs, k and nų, must be positive and that 0<a < 1. Mathematically show the following: (a) An increase in k will increase the marginal product of labor. (b) An increase in nų will increase the marginal product of capital.
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