A firm produces output using the technology:

Q = 2.5K^0.33L^0.5

where capital, K, is measured in machine-hours, labor, L, is measured in person-hours, and Q denotes the yearly output. The hourly wage rate in the United States W_L = $30, and the hourly rental rate of capital (IN EFFECT CAPITAL COSTS $2 PER MACHINE HOUR) is W_K = 2 and the Price is $12.

Please show the work by plugging in the values. I do not understand it when I don't see how the answer came up. Please.

1. Does this production function display increasing returns to scale, constant returns to scale or decreasing returns to scale (hintuse labor). Please show how you arrived at this conclusion (this requires a mathematical answer that you must show).
2. Compute the marginal products of labor and capital. Show that there are diminishing, but positive, returns to the labor input.
3. Suppose that the firm has signed a contract to rent K = 4096 machine hours over the course of the year. Determine the equilibrium level of Labor.
4. If the wage level is raised to $54.4, (given the same MP_L in the US), what is the equilibrium level of Labor demanded.