Suppose that you have estimated the following output function where L is labor and K is capital:

Y = 2K^3/4L^1/8

You know that the current price of labor is $13 and capital cost is $1 per machine (capital).

You currently use 81 units (machines) of capital.The price of the output is $60.

1. Given a fixed level of capital (K=81), and a price of $60 per unit of output (output is represented by Y), how many employees (L) will you hire to maximize profit?This requires a calculation.