Consider the utility function U(x,y)=min. Determine the indifference curve with U-value 12.

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

x=6, y=4

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).