A firm uses labor (L) and capital (K) to produce output (q) according to the function: q=1/2 L^1/2 K

In the short-run, the firm's level of capital is fixed at two units (K=2) and each unit of labor must be paid a wage of $3 (w=3). What must be the price (p) the firm can charge for each unit of output if the firm maximizes short-run profits by producing q=4 units of output?

a.) p = ? dollars