A Monopoly's production function is Cobb-Douglas Q = L^0.5K^0.5, where L is labour and K is capital. The demand function is p =(100+nm) - Q. The wage, w is $1.10 per hour and the rental cost of capital, r, is $4.5. The value of nm is a unique value for each student, which is provided in the data sheet.

A. What is the (long-run) expansion path? Illustrate Graphically.

B. Derive the long -run cost curve equation as a function of q.

C. What quantity maximizes this firm's profits?

D. Find the optimal input combination that produces the profit-maximizing quantity. Illustrate with a graph.