<p>The corner solutions are where $q_1=0$ or $q_2=0$. So just take the first-order conditions, plug in zero for the value, and solve for income. For incomes less than that amount, the quantity demanded is zero.</p>

CC BY-SA 3.0
2015-04-30T17:32:07.443Z
but how do I know which 1 is zero in this case $$q_1$$ or $$q_2$$?N How you determine?
UnusualSkill
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2015-05-01T03:12:31.353Z
May i Know what you get for this question? I want to double check
UnusualSkill
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2015-04-30T17:21:43.747Z
2015-04-30T17:21:43.747Z
Matthew
<p>$$U(q_1,q_2)=4{q_1}^{0.5}+q_2$$ $$P_1=1$$ and $$P_2=2$$ Initially $$Income=40$$ Then the question asks :how do I know what income I can get a corner solution?</p>

<p>Anyone can help me with this?</p>

<p>Thank you</p>

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2015-04-30T17:19:08.763Z
I'm voting to close this question as off-topic because it is a homework question with no effort shown.
Giskard
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2015-04-30T17:26:08.097Z
@denesp this is not a homework question and I have put in my effort to think but just cannot figure it out. The question is only asking about for what income I can get a corner solution. I ONLY NEED THE IDEA!
UnusualSkill
CC BY-SA 3.0
2015-05-01T06:38:27.727Z
The procedure to answer this question is outlined in the question below. Look at my answer on that question as a guide on how to answer it.

http://economics.stackexchange.com/questions/4997/marshallian-demand-for-cobb-douglas?noredirect=1#comment5314_4997
Jamzy
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2015-05-01T07:50:59.467Z
@Jamzy I know how to find interior solution for income=40, However the question asks further about for what income it will get a corner solution?
UnusualSkill
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2015-05-01T07:53:18.530Z
Set for it to be a corner solution, one of the quantities are no longer a choice variable. Change it to zero, then optimise.
Jamzy
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2015-05-01T09:02:50.217Z
@Jamzy But How do I Know which quantity is no longer a choice variable?erm, can you show me some steps please, because I have several similar questions ,but Im stuck. To show that I have put in efforts, with Income=40, I found (16,12) as optimal bundle. But don know how to find income level for which corner sol exists.
UnusualSkill
CC BY-SA 3.0
2015-05-01T12:48:37.263Z
@Jamzy R u able to find it?@@
UnusualSkill
<microeconomics><consumer-theory>
Corner solution-consumer theory
UnusualSkill
# Corner solution-consumer theory

(Asked by: username_0 on 2015-04-30)

$$U(q\_1,q\_2)=4{q\_1}^{0.5}+q\_2$$ $$P\_1=1$$ and $$P\_2=2$$ Initially $$Income=40$$ Then the question asks :how do I know what income I can get a corner solution?

Anyone can help me with this?

Thank you

**Tags:** microeconomics, consumer-theory

> **Comments:**
> **username_1**: I'm voting to close this question as off-topic because it is a homework question with no effort shown.  
> **username_0**: @denesp this is not a homework question and I have put in my effort to think but just cannot figure it out. The question is only asking about for what income I can get a corner solution. I ONLY NEED THE IDEA!  
> **username_2**: The procedure to answer this question is outlined in the question below. Look at my answer on that question as a guide on how to answer it.  http://economics.stackexchange.com/questions/4997/marshallian-demand-for-cobb-douglas?noredirect=1#comment5314_4997  
> **username_0**: @username_2 I know how to find interior solution for income=40, However the question asks further about for what income it will get a corner solution?  
> **username_2**: Set for it to be a corner solution, one of the quantities are no longer a choice variable. Change it to zero, then optimise.  
> **username_0**: @username_2 But How do I Know which quantity is no longer a choice variable?erm, can you show me some steps please, because I have several similar questions ,but Im stuck. To show that I have put in efforts, with Income=40, I found (16,12) as optimal bundle. But don know how to find income level for which corner sol exists.  
> **username_0**: @username_2 R u able to find it?@@  

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## 1 answers

### Answer by username_3 on 2015-04-30. Score: 3

The corner solutions are where $q\_1=0$ or $q\_2=0$. So just take the first-order conditions, plug in zero for the value, and solve for income. For incomes less than that amount, the quantity demanded is zero.

> **Comments:**
> **username_0**: but how do I know which 1 is zero in this case $$q_1$$ or $$q_2$$?N How you determine?  
> **username_0**: May i Know what you get for this question? I want to double check  

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