1a MidCentury Lilac Exercises

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School

Boston University *

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856

Subject

Economics

Date

Feb 20, 2024

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pdf

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3

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Lilac Soap A manufacturer of fancy scented bar soaps is interested in the price elasticity shown by her popular lilac variety. She assembled data for each of the past twenty months concerning the number of bars sold, the price, and the number of retail outlets that put the lilac soap on display and then carried out a regression analysis on this data. Here are the resulting means for each variable. The regression output is on the next page: 32 Mean Variable 2,506 Bars of lilac soap sold 1.59 Price 167.9 Number of displays
Lilac Soap 1. What is the coefficient of the price variable in the Excel output? 2. Describe how you would explain the interpretation of this price coefficient to someone who is not familiar with multiple regression. 3. Calculate the price elasticity implied by these results. 33
Exercise: Mid-Central Electric Seeking to increase profits, Mid-Central Electric Co. is trying to decide whether to ask the Public Utilities Commission for permission to raise its rates. Some managers feel that a rate increase will not increase profits because higher rates will cause their customers to use less electricity, but other managers disagree. Finally, the numbers are in: The director of marketing has determined that the breakeven sales level for a rate increase of 5 percent would be a unit sales loss of 8.6 percent. The market research department has determined that the price elasticity of Mid-Central's market is –1.12. Use these numbers to determine whether it would increase Mid-Central’s profits to raise rates by 5 percent. Rate increase would decrease profits. Rate increase would increase profits. Cannot be determined. Source: Schindler, Pricing Strategies 34
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