Maze Consultant employees only two types of personnel, latyers and secretaries in a production function of the form Q=LS, where Q is the number of cases handled in a month, L is the number of lawers and S is the number of secretaries employed per month. The firm has no fixed costs.

a) The market wage for lawyers is 4000$ per month and for secretaries is 1000$ per month. Solve the firm's cost minimization problem using calculus, and write down an expression for the total cost of the form, of the form C(Q).