# What is the Leontief utility function?

## What is homogeneous production function?

Definition: The Linear Homogeneous Production Function implies that with the proportionate change in all the factors of production, the output also increases in the same proportion. Such as, if the input factors are doubled the output also gets doubled. This is also known as constant returns to a scale.

## What is Leontief technology?

In economics, the Leontief production function or fixed proportions production function is a production function that implies the factors of production will be used in fixed (technologically pre-determined) proportions, as there is no substitutability between factors.

## What is Leontief Matrix?

The Leontief Inverse Matrix shows the coefficients (economic multipliers) that measure the successive effects on the economy as a result of the initial increase in production of an economic activity branch.

## What is Leontief Isoquant?

Isoquants are the lines shown in graphical representations of production functions that show the required financial capital (K) and labor (L) required to produce the quantity of output (Q).

## How do you find the Leontief inverse of a matrix?

We can transform this equation as follows: InX AX = B (In A)X = B X = (In A) 1B if the inverse of the matrix In A exists. ((In A) 1 is then called the Leontief inverse.) For a given realistic economy, a solution obviously must exist.

## What is the Leontief utility function?

Leontief utility functions represent complementary goods. For example: Suppose is the number of left shoes and the number of right shoes. A consumer can only use pairs of shoes. Hence, his utility is .

## What is Leontief’s production function?

Leontief production function is also called as fixed proportion production function. This production function can be expressed as follows: Minimum implies that the total output depends upon the smaller of the two ratios.

## What are the partial derivatives of the Leontief function?

The Leontief function has no partial derivatives in kink points lying on the optimal direction . Nonetheless, it has directional derivatives in points along the vector , which are equal to .

## Is Leontief concave?

p-Leontief is a concave function.

## Is a Leontief function homogeneous?

Linear utilities, Leontief utilities and Cobb–Douglas utilities are special cases of CES functions and thus are also homothetic. cannot be represented as a homogeneous function.

## What is Leontief paradox theory?

Leontief’s paradox in economics is that a country with a higher capital per worker has a lower capital/labor ratio in exports than in imports. This econometric finding was the result of Wassily W. Leontief inferred from this result that the U.S. should adapt its competitive policy to match its economic realities.