Suppose a production possibilities frontier can be
expressed as + = 9. The opportunity cost of going
from 0 units of X to 1 unit of X is
you need to provide more info to be able to draw the line for production possibilities frontier..
To determine the opportunity cost of going from 0 units of X to 1 unit of X on the production possibilities frontier (+ = 9), we need to understand what the equation represents.
The equation + = 9 represents the concept of production efficiency and trade-offs. The "+ " represents the amount of one good (let's say, X) that is being produced, and the "= 9" indicates the total production level of both goods (X and another good, Y).
In this case, we can interpret it as follows: when the economy is producing only X (0 units of Y), it is at one end of its production possibilities frontier. As X production expands to 1 unit, the economy has to allocate its resources away from Y production to achieve this increase.
The opportunity cost of going from 0 units of X to 1 unit of X is the amount of Y that needs to be sacrificed or given up to produce that extra unit of X. It represents the trade-off between the two goods.
To find the opportunity cost mathematically, we can rearrange the equation to solve for Y:
Y = 9 - X
Now, let's calculate the opportunity cost. Since we are moving from 0 units of X to 1 unit of X, we substitute X = 1 into the equation:
Y = 9 - 1
Y = 8
Therefore, the opportunity cost of going from 0 units of X to 1 unit of X is 8 units of Y. This means that in order to produce one more unit of X, the economy must sacrifice the production of 8 units of Y.