Consider a firm with the production function Q = KL.
(a) Is this production function homogeneous? If yes, of what degree?
(b) If labor and capital cost $100 and $200 per unit, what is the equation of the output expansion path?
(c) If the firm wants to spend $8,000 on labor and capital, what is the maximum output it can produce? How many units of L and K does it employ?