  # Derive the elasticity of substitution for the Cobb-Douglas production Fonction.f(L,K) = ALαKβ

Question

Derive the elasticity of substitution for the Cobb-Douglas production Fonction.

f(L,K) = ALαKβ

check_circleExpert Solution
Step 1

Elasticity of substitution measures the responsiveness of change in MRTS (Marginal Rate of Technical Substitution) to input ratio (K/L).

MRTS (Marginal Rate of Technical Substitution) measures the rate at which one factor can be substituted for another to yield the same level of output. MRTS is the slope of isoquant.

We are given the Cobb-Douglas production function as follows:

Step 2

The formula for calculating elasticity of substitution (σ) is as follows:

Step 3

The MRTS for the given Cobb-Douglas produc...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in 