Yaster 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 a sleeping bag for a weekly demand of z sleeping bags; • Cis the total cost (in dollars) of producing z sleeping bags.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 33E
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What is the weekly revenue when weekly demand is 180? What is marginal weekly revenue when weekly demand is 222? What is the average weekly revenue per bag when the weekly demand is 148? 

Yaster 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 a sleeping bag for a weekly demand of e sleeping bags,
• Cis the total cost (in dollars) of producing z sleeping bags.
(sleeping bags)
($()
000'
14,300
120
235
155
18,500
0000
Price Model
Find a quadratic regression equation for the price-demand data, using e as the independent variable.
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 revernue, using z as the
independent variable.
NOTE: Do not calculate another regression. Use the price equation to find a model for revenue
d = (x)
R(x) = p.= (a + bx + ex')x = ax + bx? + cr
Use the weekly revenue model to estimate the weekly revenue when the weekly demand is 180.
Round to the nearest dollar.
Use the revenue model to estimate the marginal weekly revenue when the weekly demand is 222.
Round to the nearest cent.
per sleeping bag
$.
Use the revenue model to estimate the average weekly revenue per bag when the weekly demand is
148. Round to the nearest cent.
per sleeping bag
$.
bility: Investigate
Transcribed Image Text:Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: •p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of e sleeping bags, • Cis the total cost (in dollars) of producing z sleeping bags. (sleeping bags) ($() 000' 14,300 120 235 155 18,500 0000 Price Model Find a quadratic regression equation for the price-demand data, using e as the independent variable. 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 revernue, using z as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue d = (x) R(x) = p.= (a + bx + ex')x = ax + bx? + cr Use the weekly revenue model to estimate the weekly revenue when the weekly demand is 180. Round to the nearest dollar. Use the revenue model to estimate the marginal weekly revenue when the weekly demand is 222. Round to the nearest cent. per sleeping bag $. Use the revenue model to estimate the average weekly revenue per bag when the weekly demand is 148. Round to the nearest cent. per sleeping bag $. bility: Investigate
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