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...

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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

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