Question

For the demand function $q = D(p) = \sqrt{376 - p}$, find the following. a) The elasticity b) The elasticity at $p = 82$, stating whether the demand is elastic, inelastic or has unit elasticity c) The value(s) of p for which total revenue is a maximum (assume that p is in dollars) a) Find the equation for elasticity $E(p) = \Box$

Name: for the demand function q dp sqrt376 p find the following a the elasticity b the elasticity at p 82 stating whether the demand is elastic inelastic or has unit elasticity c the values of p f 07029
Uploaded: 2023-03-09T07:29:30-08:00
Duration: 1 min 36 s
Channel: Adi S
Description: for the demand function q dp sqrt376 p find the following a the elasticity b the elasticity at p 82 stating whether the demand is elastic inelastic or has unit elasticity c the values of p f 07029

          For the demand function $q = D(p) = \sqrt{376 - p}$, find the following.
a) The elasticity
b) The elasticity at $p = 82$, stating whether the demand is elastic, inelastic or has unit elasticity
c) The value(s) of p for which total revenue is a maximum (assume that p is in dollars)

a) Find the equation for elasticity
$E(p) = \Box$

for the demand function q dp sqrt376 p find the following a the elasticity b the elasticity at p 82 stating whether the demand is elastic inelastic or has unit elasticity c the values of p f 07029

Added by John C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

03/09/2023

Step 1

We need to find the elasticity $E(p)$. The formula for elasticity of demand is $E(p) = -\frac{p}{q} \cdot \frac{dq}{dp}$. First, let's find the derivative of $q$ with respect to $p$, i.e., $\frac{dq}{dp}$. $q = (376 - p)^{1/2}$ Using the chain rule, Show more…

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For the demand function $q = D(p) = \sqrt{376 - p}$, find the following. a) The elasticity b) The elasticity at $p = 82$, stating whether the demand is elastic, inelastic or has unit elasticity c) The value(s) of p for which total revenue is a maximum (assume that p is in dollars) a) Find the equation for elasticity $E(p) = \Box$