Consider the utility function U(x,y)=\min\{2x,3y\}. Determine the indifference curve with U-value 12.
x=6, y=4
x=3, y=2
x=3, y\geq 2 and y=2, x\geq 3
x=6, y\geq 4 and y=4, x> 6
Correct:
\[
z(x,y)=\min\{2x,3y\}=
\left \{
\begin{array}{ll}
2x & {\rm if} \ 2x \leq 3y\\
3y & {\rm if} \ 2x > 3y.
\end{array}
\right .
\]
Hence, 12=2x, 12 \leq 3y and 12=3y, 12 < 2x, which gives x=6, y\geq 4 and y=4, x> 6.
Go on.
Wrong: This indifference curve does not consist of one point.
See Example 3 (film).
Wrong: This indifference curve does not consist of one point.
See Example 3 (film).
Wrong: Use the utility.
See Example 3 (film).