Consider the utility function $U(x,y)=\min\{2x,3y\}$. Determine the indifference curve with $U$-value 12.
Antwoord 1 correct
Correct
Antwoord 2 optie
$x=6, y=4$
Antwoord 2 correct
Fout
Antwoord 3 optie
$x=3, y=2$
Antwoord 3 correct
Fout
Antwoord 4 optie
$x=3, y\geq 2$ and $y=2, x\geq 3$
Antwoord 4 correct
Fout
Antwoord 1 optie
$x=6, y\geq 4$ and $y=4, x> 6$
Antwoord 1 feedback
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.
Antwoord 2 feedback
Wrong: This indifference curve does not consist of one point.
See Example 3 (film).
Antwoord 3 feedback
Wrong: This indifference curve does not consist of one point.
See Example 3 (film).
Antwoord 4 feedback
Wrong: Use the utility.
See Example 3 (film).