The production function is given by Q = LK. With w = 1 and r = 1.
a. Derive the equation for the firm's long-run total cost curve as a function of output Q.
b. Solve the firm's short-run cost-minimization problem when capital is fixed at K = 5. Derive the equation for the firm's short-run total cost curve as a function of quantity Q and graph it together with the long-run total cost curve.