Consider the following Cobb-Douglas production function for a firm that uses labor hours (L), capital (K), and energy (E) as inputs:

Q = (0.0012L^0.45)(K^0.3)(E^0.2)

1. Determine the labor, capital and energy production elasticities.
2. Suppose that worker hours are increased by 2 percent holding other inputs constant. What would be the resulting percentage change in output?
3. Suppose that capital is decreased by 3 percent holding other inputs constant. What would be the resulting percentage change in output?
4. What type of returns to scale appears to characterize this production function?