Chapter 14.1, Problem 4E

Verify for the Cobb-Douglas production function

$P\left(L,K\right)=1.01L^{0.75}{K}^{0.25}$

discussed in Example 3 that the production will be doubled if both the amount of labor and the amount of capital are doubled. Determine whether this is also true for the general production function

$P\left(L,K\right)=b{L}^{\alpha }{K}^{1-\alpha }$