The Cobb-Douglas production function with output Q and capital and labor inputs K and L, respectively, is given by: Q = f(K,L) = K«LB %3D where 0 < a <1 and 0

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The Cobb-Douglas production function with output Q and capital and labor inputs K and L, respectively,
is given by:
Q = f(K,L) = K«LB
where 0 < a <1 and 0 <B < 1.
Find the marginal product of capital fr(K, L) and marginal product of labor fi (K, L). Is production
increasing or decreasing with respect to capital? How about labor?
b. Determine if the marginal product functions fr(K,L) and fi(K,L) are convex or concave. Give an
economic intuition to your answer.
а.
Transcribed Image Text:The Cobb-Douglas production function with output Q and capital and labor inputs K and L, respectively, is given by: Q = f(K,L) = K«LB where 0 < a <1 and 0 <B < 1. Find the marginal product of capital fr(K, L) and marginal product of labor fi (K, L). Is production increasing or decreasing with respect to capital? How about labor? b. Determine if the marginal product functions fr(K,L) and fi(K,L) are convex or concave. Give an economic intuition to your answer. а.
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