<p>Alex's preferences of sugar and lemons can be expressed in form of a utility function as:</p>

<p>$U(x,y)=min(x/2,y) $</p>

<p>where $x$ is sugar and $y$ is lemons.This function tells us we need at least 2 spoons of sugar to consume 1 lemon.</p>

<p>we need a minimum of 2 sugars initally so we can say $x=2$ for 1 lemon so $y=1$</p>

<p>Plugging those values into our  budget constraint:</p>

<p>$44=20x+y$ </p>

<p>$44=20(2)+(1)$</p>

<p>$44&gt;41$</p>

<p>Notice how we end up having 3 left over, however with the budget constraint and preferences provided our consumption bundle will be 2 sugars and 1 lemon.</p>

CC BY-SA 3.0
2016-10-06T19:58:55.250Z
the question is in terms of Lemons cost is $20$ and Sugar is $1$ so its flipped around
Bensstats
CC BY-SA 3.0
2016-10-06T19:47:04.883Z
2016-10-06T19:47:04.883Z
EconJohn
<p>Alex consumes only lemons and sugar. For each lemon he requires exactly 2 spoons of sugar. He doesn't like more sugar on his lemons, and he won't eat lemons with less sugar. What is Alex's optimal consumption bundle?Write down the precise quantities of each good.(Assume that the price of each lemon is 20 and the price of a spoon of sugar is 1. Alex has 44 to spend on lemons and sugar)</p>

CC BY-SA 3.0
2016-10-06T19:10:06.153Z
For this task I also found the budget constraint: 44=20x+y. And that these goods are perfect complements so their indifference curve is L-shaped.
Mary
CC BY-SA 3.0
2016-10-06T19:12:12.663Z
But I don't know how to find his optimal consumption bundle
Mary
<microeconomics><consumer-theory><preferences><perfect-complements>
Optimal consumtion bundle of lemons and sugar
Mary
# Optimal consumtion bundle of lemons and sugar

(Asked by: username_0 on 2016-10-06)

Alex consumes only lemons and sugar. For each lemon he requires exactly 2 spoons of sugar. He doesn't like more sugar on his lemons, and he won't eat lemons with less sugar. What is Alex's optimal consumption bundle?Write down the precise quantities of each good.(Assume that the price of each lemon is 20 and the price of a spoon of sugar is 1. Alex has 44 to spend on lemons and sugar)

**Tags:** microeconomics, consumer-theory, preferences, perfect-complements
> **Comments:**
> **username_0**: For this task I also found the budget constraint: 44=20x+y. And that these goods are perfect complements so their indifference curve is L-shaped.  
> **username_0**: But I don't know how to find his optimal consumption bundle  

---

## 1 answers

### Answer by username_1 on 2016-10-06. Score: 2 | Accepted answer

Alex's preferences of sugar and lemons can be expressed in form of a utility function as:

$U(x,y)=min(x/2,y) $

where $x$ is sugar and $y$ is lemons.This function tells us we need at least 2 spoons of sugar to consume 1 lemon.

we need a minimum of 2 sugars initally so we can say $x=2$ for 1 lemon so $y=1$

Plugging those values into our budget constraint:

$44=20x+y$

$44=20(2)+(1)$

$44>41$

Notice how we end up having 3 left over, however with the budget constraint and preferences provided our consumption bundle will be 2 sugars and 1 lemon.

> **Comments:**
> **username_2**: the question is in terms of Lemons cost is $20$ and Sugar is $1$ so its flipped around  

---

