<p>Wauw, I'm completely baffled by the questions on this site. Many of them are extremely basic. </p>

<p>The indifference curves (for u = 100 and depending on whether you express y as function of x or x as a function of y are):</p>

<p><a href="https://i.sstatic.net/ysoaY.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/ysoaY.jpg" alt="enter image description here"></a></p>

<p>As the MRS is the magnitude of the slope of the indifference curve we have that (see graph) when expressing x as a function of y that the slope of the indifference curve becomes much steeper as x becomes larger. Remember that x is on the second axis. This is in accordance with mrs(yx) = x. As x becomes larger (moving up along the second axis) the slope becomes steeper (or MRS becomes larger). </p>

<p>In the second example (which I think is much simpler) MRS(xy) = 1/x and as x becomes larger clearly the slope is going towards 0. </p>

<p>Regards </p>

CC BY-SA 4.0
2019-02-06T21:40:11.883Z
Indeed many questions are basic. To discourage those, we do not provide answers.
Giskard
CC BY-SA 4.0
2019-02-06T20:52:44.683Z
2019-02-06T20:52:44.683Z
Mikkel Karsten
<p>For utility function U= ln(x)+Y
How do I determine if MRS(yx) is diminishing or not for this question?
I got Mu(x)=1/x and Mu(y)= 1
MRS(yx)=Mu(y)/Mu(x)= 1/1/x = x</p>

<p>Does this mean that MRS(yx) is diminishing and why? I checked around online but I couldn't find examples where MRS just equals a variable. And does it also satisfy the law of diminishing Mu?</p>

<microeconomics><marginal>
Marginal rate of substitution(yx) question
Jason
# Marginal rate of substitution(yx) question

(Asked by: username_0 on 2019-02-06)

For utility function U= ln(x)+Y
How do I determine if MRS(yx) is diminishing or not for this question?
I got Mu(x)=1/x and Mu(y)= 1
MRS(yx)=Mu(y)/Mu(x)= 1/1/x = x

Does this mean that MRS(yx) is diminishing and why? I checked around online but I couldn't find examples where MRS just equals a variable. And does it also satisfy the law of diminishing Mu?

**Tags:** microeconomics, marginal

---

## 1 answers

### Answer by username_1 on 2019-02-06. Score: 0

Wauw, I'm completely baffled by the questions on this site. Many of them are extremely basic.

The indifference curves (for u = 100 and depending on whether you express y as function of x or x as a function of y are):

[![enter image description here](https://i.sstatic.net/ysoaY.jpg)](https://i.sstatic.net/ysoaY.jpg)

As the MRS is the magnitude of the slope of the indifference curve we have that (see graph) when expressing x as a function of y that the slope of the indifference curve becomes much steeper as x becomes larger. Remember that x is on the second axis. This is in accordance with mrs(yx) = x. As x becomes larger (moving up along the second axis) the slope becomes steeper (or MRS becomes larger).

In the second example (which I think is much simpler) MRS(xy) = 1/x and as x becomes larger clearly the slope is going towards 0.

Regards

> **Comments:**
> **username_2**: Indeed many questions are basic. To discourage those, we do not provide answers.  

---

