# Can anyone solve this indifference curve question? [closed]

Draw the indifference curves for a preference relation which is neither monotonous or strictly convex, yet convex.

My solution was to draw a circle but I'm pretty sure that is wrong.

• That might work on "not monotonous" depending on what that means (related to satiation?), but a circle might be seen a strictly convex, so some adjustment might be needed, such as a rectangle – Henry Jan 13 at 12:21

Consider the utility function $$u(x, y)= -|x-5|-|y-5|$$.

Indifference map for $$u$$ is as follows :

How do you define monotonicity? The definition of monotonicity in economics is usually:

$$x\geq y$$ implies that $$U(x)\geq U(y)$$.

Then a solution could be:

$$U(x_1,x_2)=x_1-x_2$$

However, if you use the mathematical definition of monotonic function, then here is one of the solutions:

.

You need to add the coordinates by yourself.