Yaster Outheters nunufactures and sellh extreme-cold sleeping bags. The tuble below shows the price-demand and total cost data, where: -pis the wholesle price (in dollarsi of a sleeping bag for a weekly demand of z sleeping bags .Csthe total cost in dolars) of producing az sleeping bags. (sleeping bags) P (S) 195 240 13.000 120 235 14.300 180 755 18.500 220 50 21.000 Find a quadratic regression equation for the price-demand data, using z as the independent variable. p a+ bz + cz? Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places. Revenue Model Using the regression model computed above, find a model for the weekly revenue, using z as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(z) =p-i. R(z)-p r (a+ bx + cz')r - ar + br + cr What is a? Round to the nearest integer. Whut is Round to 2 decimal places What is e? Round to 4 decimal places.
Yaster Outheters nunufactures and sellh extreme-cold sleeping bags. The tuble below shows the price-demand and total cost data, where: -pis the wholesle price (in dollarsi of a sleeping bag for a weekly demand of z sleeping bags .Csthe total cost in dolars) of producing az sleeping bags. (sleeping bags) P (S) 195 240 13.000 120 235 14.300 180 755 18.500 220 50 21.000 Find a quadratic regression equation for the price-demand data, using z as the independent variable. p a+ bz + cz? Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places. Revenue Model Using the regression model computed above, find a model for the weekly revenue, using z as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(z) =p-i. R(z)-p r (a+ bx + cz')r - ar + br + cr What is a? Round to the nearest integer. Whut is Round to 2 decimal places What is e? Round to 4 decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Yotur Outfitters manufactures and sells extreme cold sleeping bags. The table below shows the price-demand and total cost data, where:**
- \( p \) is the wholesale price (in dollars) of sleeping bags for a weekly demand of \( x \) sleeping bags.
- \( C \) is the total cost (in dollars) of producing \( x \) sleeping bags.
\[
\begin{array}{|c|c|c|}
\hline
x \ (\text{sleeping bags}) & p \ (\$) & C \ (\$) \\
\hline
95 & 240 & 13,000 \\
120 & 235 & 14,500 \\
180 & 155 & 18,500 \\
220 & 50 & 21,000 \\
\hline
\end{array}
\]
**Find a quadratic regression equation for the price-demand data, using \( x \) as the independent variable.**
\[
p = a + bx + cx^2
\]
**Round \( a \) to the nearest integer, round \( b \) to 2 decimal places, and round \( c \) to 4 decimal places.**
---
**Revenue Model:**
Using the regression model computed above, find a model for the weekly revenue, using \( x \) as the independent variable.
**NOTE:** Do not calculate another regression. Use the price equation to find a model for revenue.
\[
R(x) = p \cdot x
\]
\[
R(x) = p \cdot x = (a + bx + cx^2)x = ax + bx^2 + cx^3
\]
**What is \( a \)? Round to the nearest integer.**
**What is \( b \)? Round to 2 decimal places.**
**What is \( c \)? Round to 4 decimal places.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d29bdc9-47d1-4ff2-b560-e93fe0e23599%2F9133c1cc-714d-4c39-aa70-c30afbcd4fad%2Fz5hcdqh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Yotur Outfitters manufactures and sells extreme cold sleeping bags. The table below shows the price-demand and total cost data, where:**
- \( p \) is the wholesale price (in dollars) of sleeping bags for a weekly demand of \( x \) sleeping bags.
- \( C \) is the total cost (in dollars) of producing \( x \) sleeping bags.
\[
\begin{array}{|c|c|c|}
\hline
x \ (\text{sleeping bags}) & p \ (\$) & C \ (\$) \\
\hline
95 & 240 & 13,000 \\
120 & 235 & 14,500 \\
180 & 155 & 18,500 \\
220 & 50 & 21,000 \\
\hline
\end{array}
\]
**Find a quadratic regression equation for the price-demand data, using \( x \) as the independent variable.**
\[
p = a + bx + cx^2
\]
**Round \( a \) to the nearest integer, round \( b \) to 2 decimal places, and round \( c \) to 4 decimal places.**
---
**Revenue Model:**
Using the regression model computed above, find a model for the weekly revenue, using \( x \) as the independent variable.
**NOTE:** Do not calculate another regression. Use the price equation to find a model for revenue.
\[
R(x) = p \cdot x
\]
\[
R(x) = p \cdot x = (a + bx + cx^2)x = ax + bx^2 + cx^3
\]
**What is \( a \)? Round to the nearest integer.**
**What is \( b \)? Round to 2 decimal places.**
**What is \( c \)? Round to 4 decimal places.**
![**Educational Exercise: Estimating Revenue Using a Revenue Model**
1. **What is \( a \)? Round to the nearest integer.**
- [Input Box]
2. **What is \( b \)? Round to 2 decimal places.**
- [Input Box]
3. **What is \( c \)? Round to 4 decimal places.**
- [Input Box]
---
4. **Use the weekly revenue model to estimate the weekly revenue when the weekly demand is 150. Round to the nearest dollar.**
- $[Input Box]
---
5. **Use the revenue model to estimate the marginal weekly revenue when the weekly demand is 186. Round to the nearest cent.**
- $[Input Box] per sleeping bag
---
6. **Use the revenue model to estimate the average weekly revenue per bag when the weekly demand is 190. Round to the nearest cent.**
- $[Input Box] per sleeping bag](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d29bdc9-47d1-4ff2-b560-e93fe0e23599%2F9133c1cc-714d-4c39-aa70-c30afbcd4fad%2Fvceyu4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Exercise: Estimating Revenue Using a Revenue Model**
1. **What is \( a \)? Round to the nearest integer.**
- [Input Box]
2. **What is \( b \)? Round to 2 decimal places.**
- [Input Box]
3. **What is \( c \)? Round to 4 decimal places.**
- [Input Box]
---
4. **Use the weekly revenue model to estimate the weekly revenue when the weekly demand is 150. Round to the nearest dollar.**
- $[Input Box]
---
5. **Use the revenue model to estimate the marginal weekly revenue when the weekly demand is 186. Round to the nearest cent.**
- $[Input Box] per sleeping bag
---
6. **Use the revenue model to estimate the average weekly revenue per bag when the weekly demand is 190. Round to the nearest cent.**
- $[Input Box] per sleeping bag
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