Consider the Cobb

$-$

Douglas production function displayed below:

Upper Y equals AK Superscript alpha Baseline Upper N Superscript

$1$

$$minus alpha

Suppose that GDP is

$100$

$,$

$$capital is

$50$

$,$

$$labor is

$10$

$,$

$$and TFP is

$6\mathrm{.}17$

$.$

$$Let alpha

$=$

$0\mathrm{.}3$

$.$

$$What is the marginal product of capital?

Marginal product of capital equals