# Price elasticity and its applications

Over the last year your boss has noticed that it would be useful for your firm to understand how consumers behave when variables in the market change and how these changes affect the total revenue for your product. You have been asked to do an analysis for your product, Good A, by addressing the following questions and reporting the results to your boss in a formal paper.

Questions:

Define the price elasticity of demand? What information does it provide? How is it calculated?

Define the income elasticity of demand? What information does it provide? How is it calculated?

Define the cross-price elasticity of demand? What information does it provide? How is it calculated?

What is total revenue? How is it calculated?

Define elastic, inelastic, and unitary elasticity means. How are these related to total revenue? Explain your answers.

With respect to the price elasticity of demand, construct a graph using the data in Figure1. Illustrate the ranges on the demand curve that indicate elastic, inelastic, and unitary elasticity. Explain your answers. Enter non-numerical responses in the same worksheet using textboxes.

Calculate the total revenue for each level of demand and post into the table, Figure 1. (Copy and paste this table into the Microsoft Word document that will form part of your submission.)

Using the midpoints formula presented in the textbook, calculate the price elasticity coefficient for each price level, starting with the coefficient for the $4 to $6 level. For each coefficient, indicate each type of elasticity: elastic demand, inelastic demand, or unitary demand. Post your answers into the table, Figure 1.

Assume that the income of consumers changes by 10%, and as a result the quantity demanded for Good A changes by 8%. What is the income elasticity of demand for Good A? What does this mean for your company?

Assume that the price of competing Good B decreases by 5% and as a result, the quantity demand for Good A decreases by 8%. What is the cross-price elasticity for your product? What type of goods are Good A and Good B?

Figure 1: The Demand Schedule for Barbeque Dinners

price quantity Total Revenue Elasticity Elastic or Inelastic

demanded coheficient

$4 100 XXXX XXXX

6 80

8 60

10 40

12 20

14 1

Required:

Prepare an analysis by answering the above-noted questions. Your analysis will consist of two documents as follows:

Microsoft Word document: Questions 1-5, 7-10.

Microsoft Excel worksheet: Question 6

#### Solution Preview

Price elasticity of demand measures the responsiveness of quantity demanded to a percentage change in Price.

It guides sellers whether to increase or decrease the selling prince of products or services. For the consumers, it provides information on what products or services should be purchased.

Formula: Change in Quantity Demanded / Change in Price

Income elasticity measures the responsiveness of quantity demanded to a percentage change in Income.

It informs sellers when to increase the price given input on salary increases of consumers.

Formula: Change in Quantity Demanded / Change in Income

Cross price elasticity of demand measures the responsiveness of quantity demanded for product A to ...

#### Solution Summary

Price elasticity is discussed here including solutions to the given elasticity problem. A detailed computation with formula and graphical presentation are shown in the attached file.