Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: • pis the wholesale price (in dollars) of a sleeping bag for a weekly demand of z sleeping bags: . Cis the total cost (in dollars) of producing z sleeping bags. z (sleeping bags) p (S) C ($) 95 240 13,000 120 235 14,300 180 155 18.500 220 50 21.000 Price Model Find a quadratic regression equation for the price-demand data, using'z as the independent variable. p=a+bz +cz? in Round a to the nearest integer, round b to 2 decimal places, and round e to 4 decimal places. Revenue Model Using the regression model computed above, find a model for the weekly revenue, using z as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(z) = p·z. R(z) = p• z = (a+ bz + cz*)z = az + bz² + cz³ Cost Model Find a linear regression model for the weekly cost data, using z as the independent variable. C(z) = mz + k Round m to 1 decimal place, and round k to the nearest integer. Use the weekly cost model to estimate the total weekly cost when the weekly demand is 202. Round te th della
Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: • pis the wholesale price (in dollars) of a sleeping bag for a weekly demand of z sleeping bags: . Cis the total cost (in dollars) of producing z sleeping bags. z (sleeping bags) p (S) C ($) 95 240 13,000 120 235 14,300 180 155 18.500 220 50 21.000 Price Model Find a quadratic regression equation for the price-demand data, using'z as the independent variable. p=a+bz +cz? in Round a to the nearest integer, round b to 2 decimal places, and round e 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·z. R(z) = p• z = (a+ bz + cz*)z = az + bz² + cz³ 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. Use the weekly cost model to estimate the total weekly cost when the weekly demand is 202. Round te th della
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
100%
What is the total weekly cost when weekly demand is 202? What is the unit variable cost per sleeping bag? What is the weekly fixed cost of producing sleeping bags?
![Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the
price-demand and total cost data, where:
• pis the wholesale price (in dollars) of a sleeping bag for a weekly demand of z sleeping bags:
. Cis the total cost (in dollars) of producing a sleeping bags.
z (sleeping bags)
p ($)
C (S)
95
240
13,000
120
235
14.300
180
155
18,500
220
50
21,000
Price Model
Find a quadratic regression equation for the price-demand data, using'z as the independent variable.
p=a+ bz + cz²
Round a to the nearest integer, round b to 2 decimal places, and round e 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 finda model for revenue
R(z) = p.z.
R(z) = p.z = (a + bz + cz)z = ax + bz² + cz
Cost Model
Find a linear regression model for the weekly cost data, using z as the independent variable.
C(z) = ma +k
Round m to 1 decimal place, and round k to the nearest integer.
Use the weekly cost model to estimate the total weekly cost when the weekly demand is 202.
Round to the nearest dollar.
%24
What is the per unit variable cost? Round to 1 decimal place.
$.
per sleeping bag
What is the weekly fixed cost of producing sleeping bags? Round to the nearest integer.
24
te
Et
OLC](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a986e3d-0e42-469e-aac8-a76738ec5c0d%2Fff3990e8-74e3-4061-b0f1-14c50955e888%2Fed7w1de_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the
price-demand and total cost data, where:
• pis the wholesale price (in dollars) of a sleeping bag for a weekly demand of z sleeping bags:
. Cis the total cost (in dollars) of producing a sleeping bags.
z (sleeping bags)
p ($)
C (S)
95
240
13,000
120
235
14.300
180
155
18,500
220
50
21,000
Price Model
Find a quadratic regression equation for the price-demand data, using'z as the independent variable.
p=a+ bz + cz²
Round a to the nearest integer, round b to 2 decimal places, and round e 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 finda model for revenue
R(z) = p.z.
R(z) = p.z = (a + bz + cz)z = ax + bz² + cz
Cost Model
Find a linear regression model for the weekly cost data, using z as the independent variable.
C(z) = ma +k
Round m to 1 decimal place, and round k to the nearest integer.
Use the weekly cost model to estimate the total weekly cost when the weekly demand is 202.
Round to the nearest dollar.
%24
What is the per unit variable cost? Round to 1 decimal place.
$.
per sleeping bag
What is the weekly fixed cost of producing sleeping bags? Round to the nearest integer.
24
te
Et
OLC
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