Margarita Robotics has a production function given by $Q=K^{0\mathrm{.}5}{L}^{0\mathrm{.}5}*K$ is the monthly number of hours of use of a precision lathe $($capital$),$ and $L$ is the monthly number of machinist hours $($labor$).$ Suppose that each unit of capital costs $$40,$ and each unit of labor costs $$10.$ In the short run, $K$ is fixed at $16,000$ hours. What is the short run total cost function?

$TC=640,000+0\mathrm{.}000625Q^2$

$TC=640,000+0\mathrm{.}0000625Q^2$

$TC=16,000+0\mathrm{.}0000625Q^2$

$TC=320,000+0\mathrm{.}625Q^2$