00:01
Okay, so for question a, so a production function is a mathematical representation of the relationship between inputs and outputs, and it shows how much output a farm can produce with different combination of inputs.
00:19
Now, the short -run production function specifically assumes that some inputs are fixed and others can be varied.
00:29
This is represented mathematically as q equals flk, where q is the quantity of output, and l is the quantity of labor, and k is the quantity of capital.
00:50
L is the quantity of labor, k is the quantity of capital.
00:57
For question b, the marginal physical product of labor, mppl, is the additional output produced by adding one more unit of labor holding all other inputs constant.
01:18
And it is calculated as the change in total output divided by the change in labor.
01:24
So this is equal to delta q over delta l.
01:29
And mrpl so mrpl on the other hand is the additional revenue a firm receives from employing one more unit of labor holding all other inputs constant and so this is calculated by the product of the marginal physical product of labor and the price of the output.
02:12
Here p is the price.
02:17
For c, for question 1, we want to find the marginal product of labor.
02:26
And this is just the difference between the in total product when one more unit of labor is added.
02:34
So we have units of labor and total product and marginal product...