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The supply function is given as Q=-100 10P.Find the elasticity using point method when price is 15?
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The supply function is given as Q=-100 10P.Find the elasticity using p...
Elasticity Calculation using Point Method


Given Information:


  • Supply Function: Q = -100 + 10P

  • Price: P = 15



Calculating Elasticity:

The formula for price elasticity of supply using point method is:

Elasticity = (Percentage change in quantity supplied / Percentage change in price)


Step 1: Calculate Initial Quantity Supplied

Using the supply function, we can calculate the initial quantity supplied at price P=15:

Q = -100 + 10P

Q = -100 + 10(15)

Q = -100 + 150

Q = 50


Step 2: Calculate New Quantity Supplied

To calculate the new quantity supplied, we need to change the price by a small amount. Let's assume the new price is P=16:

Q = -100 + 10P

Q = -100 + 10(16)

Q = -100 + 160

Q = 60


Step 3: Calculate Percentage Change in Quantity Supplied

The percentage change in quantity supplied is:

Percentage change in quantity supplied = ((New Quantity Supplied - Initial Quantity Supplied) / Initial Quantity Supplied) x 100

Percentage change in quantity supplied = ((60 - 50) / 50) x 100

Percentage change in quantity supplied = 20%


Step 4: Calculate Percentage Change in Price

The percentage change in price is:

Percentage change in price = ((New Price - Initial Price) / Initial Price) x 100

Percentage change in price = ((16 - 15) / 15) x 100

Percentage change in price = 6.67%


Step 5: Calculate Elasticity

Using the formula for price elasticity of supply using point method:

Elasticity = (Percentage change in quantity supplied / Percentage change in price)

Elasticity = (20% / 6.67%)

Elasticity = 3


Interpretation of Results:

The elasticity of supply at price P=15 is 3. This means that a 1% increase in price will result in a 3% increase in quantity supplied.
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The supply function is given as Q=-100 10P.Find the elasticity using point method when price is 15?
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