The Cobb$-$Douglas production function is given by LaTeX: Y$\backslash$:$=\backslash$:AK$^\{\backslash$alpha$\}$L$^\{1-\backslash$alpha$\}$Y$=$AK$\backslash$alpha L$1\backslash$alpha $.$ Here LaTeX: $\backslash$alpha$\backslash$alpha is a given parameter that satisfies LaTeX: $0<\backslash$alpha$<10<\backslash$alpha $<1.$ The marginal product of capital is $\_\_\_\_\_\_\_$ and shows $\_\_\_\_\_\_\_\_\_$ returns to capital. The Cobb$-$Douglas production function displays $\_\_\_\_\_\_\_\_\_\_$ and the level of output per worker can be written as a function of the level of $\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Group of answer choices

LaTeX: $\backslash$alpha$\backslash$frac$\{$Y$\}\{$K$\}\backslash$alpha

Y

K

; diminishing marginal; constant returns to scale; capital per worker

LaTeX: $\backslash$left$(1-\backslash$alpha$\backslash$right$)\backslash$frac$\{$Y$\}\{$K$\}(1\backslash$alpha $)$

Y

K

; increasing marginal; decreasing returns to scale; capital per worker

LaTeX: $\backslash$alpha$\backslash$frac$\{$Y$\}\{$K$\}\backslash$alpha

Y

K

; diminishing marginal; constant returns to scale; technology

LaTeX: $\backslash$alpha$\backslash$frac$\{$Y$\}\{$K$\}\backslash$alpha

Y

K

; diminishing marThe Cobb$-$Douglas production function is given by LaTeX: Y$\backslash$:$=\backslash$:AK$^\{\backslash$alpha$\}$L$^\{1-\backslash$alpha$\}$Y$=$AK$\backslash$alpha L$1\backslash$alpha $.$ Here LaTeX: $\backslash$alpha$\backslash$alpha is a given parameter that satisfies LaTeX: $0<\backslash$alpha$<10<\backslash$alpha $<1.$ The marginal product of capital is $\_\_\_\_\_\_\_$ and shows $\_\_\_\_\_\_\_\_\_$ returns to capital. The Cobb$-$Douglas production function displays $\_\_\_\_\_\_\_\_\_\_$ and the level of output per worker can be written as a function of the level of $\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Group of answer choices

LaTeX: $\backslash$alpha$\backslash$frac$\{$Y$\}\{$K$\}\backslash$alpha

Y

K

; diminishing marginal; constant returns to scale; capital per worker

LaTeX: $\backslash$left$(1-\backslash$alpha$\backslash$right$)\backslash$frac$\{$Y$\}\{$K$\}(1\backslash$alpha $)$

Y

K

; increasing marginal; decreasing returns to scale; capital per worker

LaTeX: $\backslash$alpha$\backslash$frac$\{$Y$\}\{$K$\}\backslash$alpha

Y

K

; diminishing marginal; constant returns to scale; technology

LaTeX: $\backslash$alpha$\backslash$frac$\{$Y$\}\{$K$\}\backslash$alpha

Y

K

; diminishing marginal; increasing returns to scale; capital per workeginal; increasing returns to scale; capital per workerThe Cobb$-$Douglas production function is given by LaTeX: Y$\backslash$:$=\backslash$:AK$^\{\backslash$alpha$\}$L$^\{1-\backslash$alpha$\}$Y$=$AK$\backslash$alpha L$1\backslash$alpha $.$ Here LaTeX: $\backslash$alpha$\backslash$alpha is a given parameter that satisfies LaTeX: $0<\backslash$alpha$<10<\backslash$alpha $<1.$ The marginal product of capital is $\_\_\_\_\_\_\_$ and shows $\_\_\_\_\_\_\_\_\_$ returns to capital. The Cobb$-$Douglas production function displays $\_\_\_\_\_\_\_\_\_\_$ and the level of output per worker can be written as a function of the level of $\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Group of answer choices

LaTeX: $\backslash$alpha$\backslash$frac$\{$Y$\}\{$K$\}\backslash$alpha

Y

K

; diminishing marginal; constant returns to scale; capital per worker

LaTeX: $\backslash$left$(1-\backslash$alpha$\backslash$right$)\backslash$frac$\{$Y$\}\{$K$\}(1\backslash$alpha $)$

Y

K

; increasing marginal; decreasing returns to scale; capital per worker

LaTeX: $\backslash$alpha$\backslash$frac$\{$Y$\}\{$K$\}\backslash$alpha

Y

K

; diminishing marginal; constant returns to scale; technology

LaTeX: $\backslash$alpha$\backslash$frac$\{$Y$\}\{$K$\}\backslash$alpha

Y

K

; diminishing marginal; increasing returns to scale; capital per worker