Question

The demand function for a product is given by $p=20-0.02 x, \quad 0<x<1000$ (a) Find the price elasticity of demand when $x=560$. (b) Find the values of $x$ and $p$ that maximize the total revenue. (c) For the value of $x$ found in part (b), show that the price elasticity of demand has unit elasticity.

          The demand function for a product is given by
$p=20-0.02 x, \quad 0<x<1000$
(a) Find the price elasticity of demand when $x=560$.
(b) Find the values of $x$ and $p$ that maximize the total revenue.
(c) For the value of $x$ found in part (b), show that the price elasticity of demand has unit elasticity.

Added by Aaron V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/13/2023

Step 1

In this case, we have $Q = x$ and $P = 20 - 0.02x$. Show more…

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The demand function for a product is given by $p=20-0.02 x, \quad 0<x<1000$ (a) Find the price elasticity of demand when $x=560$. (b) Find the values of $x$ and $p$ that maximize the total revenue. (c) For the value of $x$ found in part (b), show that the price elasticity of demand has unit elasticity.