Consider the following production function: q = 100 L 0.5 Currently the wage rate (w) is $20.00 and the price of capital (r) is $5.

Consider the following production​ function:

q = 100 L0.5K.5 

Currently the wage rate​ (w) is ​$20.00 and the price of capital​ (r) is ​$5.00.

If the firm is using 100  units of capital in​ production AND the production price is $10, how much labor should be employed to minimize costs and maximize profits?

Is there a way to use MPL and MPK while solving