It is known that the quantity demanded of a certain make of portable hair dryer is x hundred units/week and the corresponding wholesale unit price is p = sqrt of 289 - 3x dollars. Determine the consumers' surplus if the market price is set at $14/unit. (Round your answer to two decimal places.)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter5: Business And Economic Forecasting
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Problem 6E: The economic analysis division of Mapco Enterprises has estimated the demand function for its line...
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It is known that the quantity demanded of a certain make of portable hair dryer is x hundred units/week and the corresponding wholesale unit price is

p = sqrt of 289 - 3x

dollars. Determine the consumers' surplus if the market price is set at $14/unit. (Round your answer to two decimal places.)
$

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