Tutorial Exercise Worldwide annual sales of smartphones in over a 5 year period were projected to be approximately q = -10p + 4,440 million phones at a selling price of sp per phone. (a) obtain a formula for the price elasticity of demand E. (b) In one particular year the actual selling price was $271 per phone. What was the corresponding price elasticity of demand? Interpret your answer. (c) Use your formula for E to determine the selling price that would have resulted in the largest annual revenue. What, to the nearest $10 million, would have been the resulting annual revenue?

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter12: More Realistic And Complex Pricing
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Worldwide annual sales of smart phones in over a five-year period were projected to be approximately q=-10p+4440 million phones at a selling price of $P per phone. Obtain a formula for the price of elasticity of demand E. In one particular year the actual selling price was $271 per phone. What was the corresponding price elasticity of demand? Use your formula for E to determine the selling price that would’ve resulted in the largest annual revenue. What, nearest to the nearest 10 million, would have been the resulting annual revenue?
**Tutorial Exercise**

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Worldwide annual sales of smartphones in over a 5 year period were projected to be approximately  
\[ q = 10^6p^{-1} + 4.440 \]  
million phones at a selling price of $p per phone.

### (a) Obtain a formula for the price elasticity of demand \( E \).

### (b) In one particular year the actual selling price was $271 per phone. What was the corresponding price elasticity of demand? Interpret your answer.

### (c) Use your formula for \( E \) to determine the selling price that would have resulted in the largest annual revenue. What, to the nearest $10 million, would have been the resulting annual revenue?
Transcribed Image Text:**Tutorial Exercise** --- Worldwide annual sales of smartphones in over a 5 year period were projected to be approximately \[ q = 10^6p^{-1} + 4.440 \] million phones at a selling price of $p per phone. ### (a) Obtain a formula for the price elasticity of demand \( E \). ### (b) In one particular year the actual selling price was $271 per phone. What was the corresponding price elasticity of demand? Interpret your answer. ### (c) Use your formula for \( E \) to determine the selling price that would have resulted in the largest annual revenue. What, to the nearest $10 million, would have been the resulting annual revenue?
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