<p>What do you mean by "what is the difference"? Please clarify. These are just different production functions.</p>

<p>Suppose there are two different inputs $A$ and $B$.</p>

<p>The Cobb-Douglas production function is given by
$$A^\alpha B^\beta.$$
You may think of $A$ and $B$ as capital and labor.</p>

<p>The Leontief production function is given by
$$\min \{ A, B\}.$$
You may think of $A$ and $B$ as number of left and right shoes. If you have 7 left shoes and 3 right shoes, you have 3 pairs of shoes. Or let $A$ be "number of wheels divided by four and rounded down" and let $B$ be "number of car bodies" such that you can produce 5 cars with 7 car bodies and 21 wheels.</p>

CC BY-SA 3.0
2017-01-05T20:39:14.663Z
Well, clearly the difference in this case must be $A^\alpha B^\beta - \min \{ A, B \}$.
Theoretical Economist
CC BY-SA 3.0
2017-01-05T20:44:56.207Z
I briefly thought about making such a comment myself, but found it too cheeky - hat tip to you :)
Bayesian
CC BY-SA 3.0
2017-01-06T17:25:33.317Z
As a unifying perspective, one could mention that both are limiting cases of the C.E.S. production function, see for example http://economics.stackexchange.com/a/399/61
Alecos Papadopoulos
CC BY-SA 3.0
2017-01-05T20:36:25.823Z
2017-01-05T20:36:25.823Z
Bayesian
<p>whatis the differences between cobb-Douglass and leontief production technology</p>

<production-function>
the difference between cobb-Douglass and leontief production technology
Ashenafi
# the difference between cobb-Douglass and leontief production technology

(Asked by: username_0 on 2017-01-05)

whatis the differences between cobb-Douglass and leontief production technology

**Tags:** production-function

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## 1 answers

### Answer by username_1 on 2017-01-05. Score: 1

What do you mean by "what is the difference"? Please clarify. These are just different production functions.

Suppose there are two different inputs $A$ and $B$.

The Cobb-Douglas production function is given by
$$A^\alpha B^\beta.$$
You may think of $A$ and $B$ as capital and labor.

The Leontief production function is given by
$$\min \{ A, B\}.$$
You may think of $A$ and $B$ as number of left and right shoes. If you have 7 left shoes and 3 right shoes, you have 3 pairs of shoes. Or let $A$ be "number of wheels divided by four and rounded down" and let $B$ be "number of car bodies" such that you can produce 5 cars with 7 car bodies and 21 wheels.

> **Comments:**
> **username_2**: Well, clearly the difference in this case must be $A^\alpha B^\beta - \min \{ A, B \}$.  
> **username_1**: I briefly thought about making such a comment myself, but found it too cheeky - hat tip to you :)  
> **username_3**: As a unifying perspective, one could mention that both are limiting cases of the C.E.S. production function, see for example http://economics.stackexchange.com/a/399/61  

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