2. An eyeglass manufacturer can produce eyeglasses according to the following production function: quK where K is the number of tiny screwdrivers the rm owns, and L is the number of workers the rm employs. Workers are paid a wage of TL 2 l each: and tiny screwdrivers can be bought for a price of TX 2 4 each. [a] In the long-run, capital and labor are both variable. To produce {12 units, what is the mix of labor L and capital X that minimizes costs? Show your world (Hint: you have two unknowns. L and H. You have two equations, the output condition Q 2 LE and the bang-for-the-buck condition EMPLE'TL = MPKE'TK. Solve the equations simultaneously to nd the right levels of L and K as a function of Q. It may help to simplify the bang-for-the-buck condition to get rid of any square roots before plugging it into the output function.)