Q2:
A firm's production function is given by the following Cobb-Douglas function:
$q = 2k^{0.5}l^{0.5}$
where $q$ is the total output per time period, $k$ is the quantity of capital input employed per
time period, and $l$ is the quantity of labor input employed per time period. Suppose that the
firm is operating in a perfectly competitive market, where the rental rate of capital is v rupees
per unit of capital, and the wage rate of labor is w rupees per unit of labor.
Find the firm's cost function, $C(v, w, q)$.