Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![### Demand Function for Computer Software
The demand function for a piece of computer software is given by:
\[ p = 850e^{-0.003x} \]
where \( p \) is the price per unit when \( x \) units are demanded.
#### a. Find the price when 900 units are demanded.
To find the price when 900 units are demanded, substitute \( x = 900 \) into the equation:
\[ p = 850e^{-0.003 \times 900} \]
Calculate to find the price.
#### b. Find the quantity demanded when the price is $40. Show your work.
To find the quantity demanded when the price is $40, set \( p = 40 \) and solve for \( x \):
\[ 40 = 850e^{-0.003x} \]
Rearrange and solve for \( x \) to find the quantity demanded.](https://content.bartleby.com/qna-images/question/c9ef355a-fb22-427b-b06e-27c19f3d746c/37a9d687-2014-4f99-92ce-38c0ccc6025f/qnperws_processed.jpeg)
Transcribed Image Text:### Demand Function for Computer Software
The demand function for a piece of computer software is given by:
\[ p = 850e^{-0.003x} \]
where \( p \) is the price per unit when \( x \) units are demanded.
#### a. Find the price when 900 units are demanded.
To find the price when 900 units are demanded, substitute \( x = 900 \) into the equation:
\[ p = 850e^{-0.003 \times 900} \]
Calculate to find the price.
#### b. Find the quantity demanded when the price is $40. Show your work.
To find the quantity demanded when the price is $40, set \( p = 40 \) and solve for \( x \):
\[ 40 = 850e^{-0.003x} \]
Rearrange and solve for \( x \) to find the quantity demanded.
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