Calculating Sales Change with Price Elasticity of Demand

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Homework Help Overview

The discussion revolves around calculating the change in sales based on price elasticity of demand. The original poster presents a scenario with a price elasticity of 1.6 and an initial sales figure of 10,000, seeking to determine the new sales number after a price increase from 4.99 to 10.00.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of the price elasticity formula and question the validity of the calculations presented. There is an inquiry into the formula for quantity as a function of price, with suggestions to derive it from a differential equation.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding the need to derive a formula, but there is no explicit consensus on the correct method or outcome.

Contextual Notes

One participant notes that the problem does not fit the typical homework format, indicating a potential lack of formal constraints or requirements. There is also a mention of uncertainty regarding the necessary formulas for solving the problem.

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Homework Statement



Given a price elasticity of 1.6 and an initial sales number of 10000 what would be the sales number if price went from 4.99 to 10.00?

Homework Equations



Price Elasticity of Demand = % Change in Quantity Demanded / % Change in Price

The Attempt at a Solution



1.6*200 *100 -10000

it gives me 220000, but that can't be right
 
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EdmureTully said:

Homework Statement



Given a price elasticity of 1.6 and an initial sales number of 10000 what would be the sales number if price went from 4.99 to 10.00?

Homework Equations



Price Elasticity of Demand = % Change in Quantity Demanded / % Change in Price

The Attempt at a Solution



1.6*200 *100 -10000

it gives me 220000, but that can't be right

What is the formula for Quantity as a function of price? It is the solution of a differential equation; first write out the equation, then solve it. Once you have done that it is a simple matter of substitution.
 
I don't have that formula. It's not even a homework problem. I just want to know how to determine the new quantity.
 
EdmureTully said:
I don't have that formula. It's not even a homework problem. I just want to know how to determine the new quantity.

You may not "have that formula", but I have told you what you need to do to get it. The rest is up to you.
 

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