Suppose a firm is currently using the production function q(L, K)=LK^2, where each workers' wage is $13 and each piece of capital costs $39 to rent. The firm would like to produce 96 units of output at the lowest cost possible. You've been provided with the following equations for MPL and MPK:

MPL=K^2 and MPK=2LK

a)To produce 96 units of output at the lowest cost, the firm should use---------units of L and--------units of K

b)Their total cost of producing 96 units of output is $---------------