Work It Out, Chapter 2, Step 1

(Transcript of audio with descriptions. Transcript includes narrator headings and description headings of the visual content)

(Speaker)
In this problem, you're going to analyze the production possibilities for a small island that has to choose between producing fish and potatoes. We are going to start by using the table above to draw the production possibilities frontier.

(Description)
The table consists of 3 columns: Maximum annual output options, Quantity of potatoes (pounds), Quantity of fish (pounds). The table consists of 6 rows. The first row: Maximum annual output option is labeled, A, Quantity of potatoes is, 1000 pounds, Quantity of fish is, 0 pounds. The second row: Maximum annual output option is labeled, B, Quantity of potatoes is, 800 pounds, Quantity of fish is, 300 pounds. The third row: Maximum annual output option is labeled, C, Quantity of potatoes is, 600 pounds, Quantity of fish is, 500 pounds. The fourth row: Maximum annual output option is labeled, D, Quantity of potatoes is, 400 pounds, Quantity of fish is, 600 pounds. The fifth row: Maximum annual output option is labeled, E, Quantity of potatoes is, 200 pounds, Quantity of fish is, 650 pounds. The sixth row: Maximum annual output option is labeled, F, Quantity of potatoes is, 0 pounds, Quantity of fish is, 675 pounds.

(Speaker)
To begin the problem, we are going to draw a set of axes and label the horizontal axis quantity of potatoes, pounds, and the vertical axis, quantity of fish, pounds.

(Description)
The coordinate plane is drawn. The horizontal axis shows the quantity of potatoes in pounds, and the vertical axis shows quantity of fish in pounds.

(Speaker)
The next step is label each of the following points. We will label point A at, 1000, 0. This point shows Atlantis can produce 1000 pounds of potatoes and 0 pounds of fish.

(Description)
The point, A, with coordinates, 1000 and 0, is plotted on the coordinate plane. This corresponds to the data given in the first row of the table.

(Speaker)
We will continue labeling all points. Point, B, corresponds with the production level of 800 pounds of potatoes and 300 pounds of fish.

(Description)
The point, B, with coordinates, 800 and 300, is plotted on the coordinate plane. This corresponds to the data given in the second row of the table.

(Speaker)
We will proceed in labeling the remaining points, C, D, E, and F.

(Description)
The point, C, with coordinates, 600 and 500, the point, D, with coordinates, 400 and 600, the point, E, with coordinates, 200 and 650, the point, F, with coordinates, 0 and 675, are plotted on the coordinate plane. This corresponds to the data given in rows 3 to 6 of the table, respectively.

(Speaker)
The final step is to connect the dots. We will draw the production possibility frontier with a bowed shape.

(Description)
The line connecting all points is drawn on the plot.