Let Q = 20 L^0.50K^0.50and w = 40, r = 80 MPL= 10 L^-0.50K^0.50MPK= 10 L^0.50K^-0.50

a.) (1) Derive the long-term cost function.

b.) (1) Derive the short-term cost function when L is fixed at 25 units. c.) (1)