If the production possibilities frontier can be expressed as $4 X ^ { 2 } + Y ^ { 2 } = 16$ then the point $\mathrm { X } = 1$ ; $Y = 4$ is.
A)outside the production possibilities frontier
B)on the production possibilities frontier
C)inside the production possibilities frontier
D)in the wrong quadrant to be on the graph

Question

Quizplus · Accepted Answer

The point $X = 1$, $Y = 4$ does not satisfy the equation $4(1)^2 + (4)^2 = 16$, as it results in $4 + 16 = 20$, which is greater than 16. Hence, it is outside the production possibilities frontier.

If the Production Possibilities Frontier Can Be Expressed As 4X2+Y2=164 X ^ { 2 } + Y ^ { 2 } = 164X2+Y2=16

If the Production Possibilities Frontier Can Be Expressed As $4 X ^ { 2 } + Y ^ { 2 } = 16$