What is the maximum profit Jesaki Inc. can expect from widget sales? Round to the nearest dollar. Note: The profit may be negative, if Jesaki Inc. experiences a loss.
What is the maximum profit Jesaki Inc. can expect from widget sales? Round to the nearest dollar. Note: The profit may be negative, if Jesaki Inc. experiences a loss.
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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Question
![**Sales Profit Calculation: Widget Sales Analysis**
Please utilize the provided sales data to respond to the question below regarding Jesaki Inc.'s widget sales:
**Question:**
What is the maximum profit Jesaki Inc. can anticipate from widget sales?
**Profit Estimate:**
$____________.
(Please round to the nearest dollar.)
**Important Note:**
The profit may be negative if Jesaki Inc. incurs a loss.
[Input Field for Answer]
**Instruction:** Ensure to review the sales data comprehensively to determine the potential profit, taking into account all costs and revenue associated with widget sales. Adjust your calculations for any possible losses as indicated in the note.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fc3ef53-ef76-4c8f-9c49-6c2ebf0a14b7%2F2a120309-abd9-4359-856a-d5238278f97d%2Fjnae44l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Sales Profit Calculation: Widget Sales Analysis**
Please utilize the provided sales data to respond to the question below regarding Jesaki Inc.'s widget sales:
**Question:**
What is the maximum profit Jesaki Inc. can anticipate from widget sales?
**Profit Estimate:**
$____________.
(Please round to the nearest dollar.)
**Important Note:**
The profit may be negative if Jesaki Inc. incurs a loss.
[Input Field for Answer]
**Instruction:** Ensure to review the sales data comprehensively to determine the potential profit, taking into account all costs and revenue associated with widget sales. Adjust your calculations for any possible losses as indicated in the note.
![**Widget Sales**
Jesaki Inc. is trying to enter the widget market. The research department established the following price-demand, cost, and revenue functions:
\[
\begin{array}{|c|c|}
\hline
p(x) = 60 - 1.20x & \text{Price-demand function} \\
\hline
C(x) = 210 + 12x & \text{Cost function} \\
\hline
R(x) = xp(x) = x(60 - 1.20x) & \text{Revenue function} \\
\hline
\end{array}
\]
Where \( x \) is in thousands of widgets and \( C(x) \) and \( R(x) \) are in thousands of dollars. The price \( p(x) \) is the price in dollars of one widget when the demand is \( x \) thousand widgets. All three functions have domain \( 1 \leq x \leq 50 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fc3ef53-ef76-4c8f-9c49-6c2ebf0a14b7%2F2a120309-abd9-4359-856a-d5238278f97d%2Fzdzztz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Widget Sales**
Jesaki Inc. is trying to enter the widget market. The research department established the following price-demand, cost, and revenue functions:
\[
\begin{array}{|c|c|}
\hline
p(x) = 60 - 1.20x & \text{Price-demand function} \\
\hline
C(x) = 210 + 12x & \text{Cost function} \\
\hline
R(x) = xp(x) = x(60 - 1.20x) & \text{Revenue function} \\
\hline
\end{array}
\]
Where \( x \) is in thousands of widgets and \( C(x) \) and \( R(x) \) are in thousands of dollars. The price \( p(x) \) is the price in dollars of one widget when the demand is \( x \) thousand widgets. All three functions have domain \( 1 \leq x \leq 50 \).
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