For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inelastic at the indicated price. p = 141 − x2; p = 94 E(94)=?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 29RE: For the following exercise, consider this scenario: In 2004, a school population was 1,700. By 2012...
Question

For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inelastic at the indicated price.

p = 141 − x2p = 94

E(94)=?

Expert Solution
Step 1

Sol:-

To compute the elasticity of demand at a price of p = 94, we first need to find the corresponding quantity demanded. We can do this by substituting p = 94 into the demand equation and solving for x:

p = 141 − x² 94 = 141 - x² x² = 141 - 94 x² = 47 x = √47 x ≈ 6.86

So when the price is 94, the quantity demanded is approximately 6.86.

Next, we can compute the elasticity of demand using the formula:

E = (ΔQ / Q) / (ΔP / P)

 

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