Assume that average product for six workers is fifteen. If the marginal product of the seventh worker is

eighteen, what is the average product of the seventh worker?

To find the average product of the seventh worker, we first need to understand the concepts of average product and marginal product.

1. Average Product (AP): It is the total output divided by the number of units of input used to produce that output. Mathematically, AP = total output / number of units of input.

2. Marginal Product (MP): It is the additional output that is produced when an additional unit of input is added, while keeping all other inputs constant.

In this case, we are given that the average product for six workers is fifteen. This means that with six workers, the average output per worker is fifteen units.

Now, we are given that the marginal product of the seventh worker is eighteen. This implies that when the seventh worker is added to the team, the additional output is eighteen units.

To find the average product of the seventh worker, we need to calculate the total output with seven workers and then divide it by seven.

Let's assume the initial total output with six workers is X units. So, the average product with six workers is X/6 = 15.

When the seventh worker is added, the additional output is eighteen units (marginal product). Therefore, the total output with seven workers will be X + 18.

To find the average product of the seventh worker, we divide the total output with seven workers (X + 18) by seven:

Average Product of the seventh worker = (X + 18) / 7

So, to determine the average product of the seventh worker, you need to know the initial total output with six workers (X).