The demand equation for video games at one store is p = D(q) = 600e-0.5q, where p is the price (in dollars) and q is the quantity of video games sold per day. Find the values of q and p that maximize revenue. The revenue is maximized when q = | video games are sold per day and p = $ (Type integers or decimals rounded to two decimal places as needed.)
The demand equation for video games at one store is p = D(q) = 600e-0.5q, where p is the price (in dollars) and q is the quantity of video games sold per day. Find the values of q and p that maximize revenue. The revenue is maximized when q = | video games are sold per day and p = $ (Type integers or decimals rounded to two decimal places as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Transcript:**
The demand equation for video games at one store is \( p = D(q) = 600e^{-0.5q} \), where \( p \) is the price (in dollars) and \( q \) is the quantity of video games sold per day. Find the values of \( q \) and \( p \) that maximize revenue.
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The revenue is maximized when \( q = \_\_ \) video games are sold per day and \( p = \$\_\_. \)
*(Type integers or decimals rounded to two decimal places as needed.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae259756-8f06-4e5c-ae2d-b16c40451d6f%2F3d961f05-fb74-4b42-87dc-4e5ac4224878%2Fi24mgfk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcript:**
The demand equation for video games at one store is \( p = D(q) = 600e^{-0.5q} \), where \( p \) is the price (in dollars) and \( q \) is the quantity of video games sold per day. Find the values of \( q \) and \( p \) that maximize revenue.
---
The revenue is maximized when \( q = \_\_ \) video games are sold per day and \( p = \$\_\_. \)
*(Type integers or decimals rounded to two decimal places as needed.)*
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