Youter Outen manfctures price-demand and total cost data where s and wh etreme coldping bag The tble bewhown the Revenue Model eping ha phtewhelesle prie nd oa for a wely demand ofeping bgs .Caneont n dnofroducingeg raweokly dem Jofa seeping ba Using the regression model computed above, find a model for the weekly revenue, usig as the Independent variable. bleeping bagsl 240 T3000 NOTE De not calculate another regression. Use the price equation to find a model for revenue 320 b4300 Find a quadratic regression equation for the price-demand data, using as the independent variable. 225 80 14.500 pa+ be + R(2) -p.z- (a+ be + c)a ar+ ba+ c 220 30 21.000 Round a to the nearest integer, round b to 2 decimal places, and round e to 4 decimal places Cost Model Find a linear regression model for the weekly cost data, using a as the independent variable. C(z) = mz +k Round m to 1 decimal place, and round k to the nearest integer. What is m? Round to 1 decimal place. What is k? Round to the nearest integer. Use the weekly cost model to estimate the total weekly cost when the weekly demand is 216. Round to the nearest dollar. What is the per unit variable cost? Round to 1 decimal place. per sleeping bag What is the marginal weekly cost at production level 102 sleeping bags per week? Round to 1 decimal place. per sleeping bag What is the weekly foxed cost of producing sleeping bags? Round to the nearest integer. 2. DFocus
Youter Outen manfctures price-demand and total cost data where s and wh etreme coldping bag The tble bewhown the Revenue Model eping ha phtewhelesle prie nd oa for a wely demand ofeping bgs .Caneont n dnofroducingeg raweokly dem Jofa seeping ba Using the regression model computed above, find a model for the weekly revenue, usig as the Independent variable. bleeping bagsl 240 T3000 NOTE De not calculate another regression. Use the price equation to find a model for revenue 320 b4300 Find a quadratic regression equation for the price-demand data, using as the independent variable. 225 80 14.500 pa+ be + R(2) -p.z- (a+ be + c)a ar+ ba+ c 220 30 21.000 Round a to the nearest integer, round b to 2 decimal places, and round e to 4 decimal places Cost Model Find a linear regression model for the weekly cost data, using a as the independent variable. C(z) = mz +k Round m to 1 decimal place, and round k to the nearest integer. What is m? Round to 1 decimal place. What is k? Round to the nearest integer. Use the weekly cost model to estimate the total weekly cost when the weekly demand is 216. Round to the nearest dollar. What is the per unit variable cost? Round to 1 decimal place. per sleeping bag What is the marginal weekly cost at production level 102 sleeping bags per week? Round to 1 decimal place. per sleeping bag What is the weekly foxed cost of producing sleeping bags? Round to the nearest integer. 2. DFocus
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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![**Yester Outdoors** manufactures and sells custom cold sleeping bags. The table below shows the price-demand and total cost data.
| Sleeping Bags (z) | Price (p) | Total Cost ($) |
|-------------------|-----------|----------------|
| 120 | 245 | 10,200 |
| 160 | 230 | 11,500 |
| 210 | 155 | 15,000 |
| 230 | 135 | 16,200 |
Find a quadratic regression equation for the price-demand data, using $z$ as the independent variable:
\[ p = az^2 + bz + c \]
Round $a$, $b$, and $c$ to the nearest integer, round to 2 decimal places.
---
**Cost Model**
Find a linear regression model for the weekly cost data, using $z$ as the independent variable:
\[ C(z) = mz + k \]
Round $m$ to 1 decimal place, and round $k$ to the nearest integer.
- **What is $m$?** Round to 1 decimal place.
\[ \_\_\_\_ \]
- **What is $k$?** Round to the nearest integer.
\[ \_\_\_\_ \]
Use the weekly cost model to estimate the total weekly cost when the weekly demand is 216. Round to the nearest dollar.
\[ \$\_\_\_\_ \]
- **What is the per unit variable cost?** Round to 1 decimal place.
\[ \$\_\_\_\_ \text{ per sleeping bag} \]
- **What is the weekly fixed cost of producing sleeping bags?** Round to the nearest integer.
\[ \$\_\_\_\_ \]
- **What is the marginal weekly cost at production level 102 sleeping bags per week?** Round to 1 decimal place.
\[ \$\_\_\_\_ \text{ per sleeping bag} \]
---
**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*
\[ R(z) = p \cdot z \]
\[ R(z) = (a \cdot bz \cdot cz^2)z = az^3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d29bdc9-47d1-4ff2-b560-e93fe0e23599%2F20e3d3a2-e108-40e1-bd44-05380ccfd2de%2Frhphbil_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Yester Outdoors** manufactures and sells custom cold sleeping bags. The table below shows the price-demand and total cost data.
| Sleeping Bags (z) | Price (p) | Total Cost ($) |
|-------------------|-----------|----------------|
| 120 | 245 | 10,200 |
| 160 | 230 | 11,500 |
| 210 | 155 | 15,000 |
| 230 | 135 | 16,200 |
Find a quadratic regression equation for the price-demand data, using $z$ as the independent variable:
\[ p = az^2 + bz + c \]
Round $a$, $b$, and $c$ to the nearest integer, round to 2 decimal places.
---
**Cost Model**
Find a linear regression model for the weekly cost data, using $z$ as the independent variable:
\[ C(z) = mz + k \]
Round $m$ to 1 decimal place, and round $k$ to the nearest integer.
- **What is $m$?** Round to 1 decimal place.
\[ \_\_\_\_ \]
- **What is $k$?** Round to the nearest integer.
\[ \_\_\_\_ \]
Use the weekly cost model to estimate the total weekly cost when the weekly demand is 216. Round to the nearest dollar.
\[ \$\_\_\_\_ \]
- **What is the per unit variable cost?** Round to 1 decimal place.
\[ \$\_\_\_\_ \text{ per sleeping bag} \]
- **What is the weekly fixed cost of producing sleeping bags?** Round to the nearest integer.
\[ \$\_\_\_\_ \]
- **What is the marginal weekly cost at production level 102 sleeping bags per week?** Round to 1 decimal place.
\[ \$\_\_\_\_ \text{ per sleeping bag} \]
---
**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*
\[ R(z) = p \cdot z \]
\[ R(z) = (a \cdot bz \cdot cz^2)z = az^3
Transcribed Image Text:**Linear Cost Model Analysis for Sleeping Bags Production**
In this exercise, we'll work with the linear cost model given by the equation \( C(x) = mx + k \). Here, the aim is to analyze various cost aspects of manufacturing sleeping bags.
1. **Determine the variables:**
- Round \( m \) to 1 decimal place, and round \( k \) to the nearest integer.
2. **Questions to Answer:**
**a. Calculate Specific Costs:**
- **\( m \):** What is the value of \( m \)? Round to 1 decimal place.
- **\( k \):** What is the value of \( k \)? Round to the nearest integer.
**b. Weekly Cost Estimation:**
- Use the weekly cost model to estimate the total weekly cost when the weekly demand is 216. Round to the nearest dollar.
**c. Unit Variable Cost:**
- What is the per unit variable cost? Round to 1 decimal place.
**d. Marginal Cost Analysis:**
- What is the marginal weekly cost at a production level of 102 sleeping bags per week? Round to 1 decimal place.
**e. Fixed Cost:**
- What is the weekly fixed cost of producing sleeping bags? Round to the nearest integer.
**f. Average Cost Estimation:**
- Use the cost model to estimate the average weekly cost per bag when the weekly demand is 215. Round to the nearest cent.
Use these models and steps to calculate the various cost components involved in sleeping bag production.
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