The demand function for a product is modeled by p = 74e-0.000025x where p is the price per unit (in dollars) and x is the number of units. (a) What price, in dollars, will yield a maximum revenue? (Round your answer to the nearest cent.) 2$ (b) What is the maximum revenue (in dollars) at the price found in part (a)? (Round your answer to the nearest dollar.) $

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The demand function for a product is modeled by 

\[ p = 74e^{-0.000025x} \]

where \( p \) is the price per unit (in dollars) and \( x \) is the number of units.

(a) What price, in dollars, will yield a maximum revenue? (Round your answer to the nearest cent.)

\[ \$ \text{[ ]} \]

(b) What is the maximum revenue (in dollars) at the price found in part (a)? (Round your answer to the nearest dollar.)

\[ \$ \text{[ ]} \]
Transcribed Image Text:The demand function for a product is modeled by \[ p = 74e^{-0.000025x} \] where \( p \) is the price per unit (in dollars) and \( x \) is the number of units. (a) What price, in dollars, will yield a maximum revenue? (Round your answer to the nearest cent.) \[ \$ \text{[ ]} \] (b) What is the maximum revenue (in dollars) at the price found in part (a)? (Round your answer to the nearest dollar.) \[ \$ \text{[ ]} \]
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