<p>Given the circumstances and model you describe, consuming the entire budget will give higher utility than consuming less than the entire budget.</p>

<p>You can therefore assume that the optimal basket will have the same total price as before the price change. </p>

CC BY-SA 4.0
2018-09-11T13:21:29.147Z
2018-09-11T13:21:29.147Z
Klas Lindbäck
<p>If the price ratio of the new basket is the same as the original basket, it means the budget line pivots about the original consumption bundle. In this case , quantity of goods consumed is same but prices change. Therefore, price of new basket changes.</p>

<p>However, if price ratio of new basket is not the same as before. It means that the budget line changes such that it is still tangential to the original indifference curve. ( there can be many different ways to draw a tangent to a curve )</p>

<p>In this case, it is not possible to tell whether the price of the original basket changes as both quantities and price changes for the new basket.</p>

<p>Just my thoughts :)</p>

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2018-09-11T14:59:06.347Z
2018-09-11T14:59:06.347Z
skukkzky
<p>Given two goods (where more is better), and I am consuming at a point that maximizes my utility (i.e on the budget line, with an indifference curve tangential to the budget line).</p>

<p>When the prices of the two goods change to an unknown, and yet I consume where my utility is the same maximum utility as before, can I conclude that the price of this new basket is the same as before?</p>

<p>Logically, I think it does. But on the other hand, I'm thinking about possibilities where price of good A increases, and price of good B decreases by the same amount, which leaves me stuck.</p>

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2018-09-11T15:01:05.653Z
I am afraid I don't get it. Is income the same as before? If not, there is no way to tell.
Giskard
CC BY-SA 4.0
2018-09-12T11:47:03.990Z
My apologies, forgot to include that information in the question. Yes, income remains the same, but information regarding the new price of two goods (i.e did they increase / decrease / remain the same) is not given. In that case, can I make any conclusions?
statsguy21
CC BY-SA 4.0
2018-09-12T17:20:05.413Z
Consider "two goods (where more is better)" and see Klas's [answer](https://economics.stackexchange.com/a/24465/1601).
Giskard
<microeconomics>
Optimal basket and the maximum utility
statsguy21
# Optimal basket and the maximum utility

(Asked by: username_0 on 2018-09-11)

Given two goods (where more is better), and I am consuming at a point that maximizes my utility (i.e on the budget line, with an indifference curve tangential to the budget line).

When the prices of the two goods change to an unknown, and yet I consume where my utility is the same maximum utility as before, can I conclude that the price of this new basket is the same as before?

Logically, I think it does. But on the other hand, I'm thinking about possibilities where price of good A increases, and price of good B decreases by the same amount, which leaves me stuck.

**Tags:** microeconomics

> **Comments:**
> **username_1**: I am afraid I don't get it. Is income the same as before? If not, there is no way to tell.  
> **username_0**: My apologies, forgot to include that information in the question. Yes, income remains the same, but information regarding the new price of two goods (i.e did they increase / decrease / remain the same) is not given. In that case, can I make any conclusions?  
> **username_1**: Consider "two goods (where more is better)" and see username_2's [answer](https://economics.stackexchange.com/a/24465/1601).  

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## 2 answers

### Answer by username_2 on 2018-09-11. Score: 1

Given the circumstances and model you describe, consuming the entire budget will give higher utility than consuming less than the entire budget.

You can therefore assume that the optimal basket will have the same total price as before the price change.


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### Answer by username_3 on 2018-09-11. Score: 1

If the price ratio of the new basket is the same as the original basket, it means the budget line pivots about the original consumption bundle. In this case , quantity of goods consumed is same but prices change. Therefore, price of new basket changes.

However, if price ratio of new basket is not the same as before. It means that the budget line changes such that it is still tangential to the original indifference curve. ( there can be many different ways to draw a tangent to a curve )

In this case, it is not possible to tell whether the price of the original basket changes as both quantities and price changes for the new basket.

Just my thoughts :)


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