Assume Firm Y's production function is given by the following Cobb Douglas equation:
Q = 0.5 x L0.6 x K0.5
where L denotes labor and K denotes capital.
a. Does the production function exhibit increasing, decreasing or constant returns to scale? describe.
b. If labor hours increase by 10%, what is the percentage change in output? describe.
c. If capital decreases by 10%, what is the percentage change in output? describe.
d. If the number of labor hours increases by 10% and the number of hours of capital used decreases by 10%, what is the percentage change in output?