Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: Revenue Model • pis the wholesale price (in dollars) of a sleeping bag for a weekly demand of a sleeping bags: . Cis the total cost (in dollars) of producing z sleeping bags. Using the regression model independent variable. z (sleeping bags) P (S) C (S) 95 240 13.000 NOTE: Do not calculate ano 120 235 14,300 R(x) =p- r. 180 155 18.500 220 50 21.000 R(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
icon
Related questions
Question

What is maximum weekly profit?

Profit Model
Use the models computed to find a model for the weekly profit, using a as the independent variable.
P(x) =r+ ux + sz² + tæ³
47.555, and = 202.944, rounded to 3
The weekly profit model has roots at a= -52.789, x
decimal places.
NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost.
The marginal weekly profit model has roots at x = -8.488 and x
decimal places.
Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round t
=140.295, rounded to 3
to 4 decimal places.
What is the maximum weekly profit? Round to the neares
DFocus
F 1
0 words
EO Accessibility: Investigate
73
diOLC C
P Type here to search
PrtSc
Insert
వలలం
D
F9
F11
F12
Xx
F7
F8
F10
FA
F6
F5
F2
F3
&
Backso
5
7
8
T
U
F
G
H.
K
+ //
P
* 00
Transcribed Image Text:Profit Model Use the models computed to find a model for the weekly profit, using a as the independent variable. P(x) =r+ ux + sz² + tæ³ 47.555, and = 202.944, rounded to 3 The weekly profit model has roots at a= -52.789, x decimal places. NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost. The marginal weekly profit model has roots at x = -8.488 and x decimal places. Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round t =140.295, rounded to 3 to 4 decimal places. What is the maximum weekly profit? Round to the neares DFocus F 1 0 words EO Accessibility: Investigate 73 diOLC C P Type here to search PrtSc Insert వలలం D F9 F11 F12 Xx F7 F8 F10 FA F6 F5 F2 F3 & Backso 5 7 8 T U F G H. K + // P * 00
Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the
Revenue Model
price-demand and total cost data, where:
• p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of x sleeping bags;
C is the total cost (in dollars) of producing r sleeping bags.
Using the regression model computed above, find a model for the weekly revenue, using x as the
independent variable.
I (sleeping bags)
P ($)
C ($)
NOTE: Do not calculate another regression. Use the price equation to find a model for revenue
R(x) = p - x.
95
240
13,000
120
235
14,300
180
155
18,500
R(x) = p· x
(a + bx + cx²)æ
= ax + bx² + cx²
=
220
50
21,000
Cost Model
Find a linear regression model for the weekly cost data, using x as the independent variab
Find a quadratic regression equation for the price-demand data, using x as the independent variable.
C(x) = mx +k
p= a + bx + cx²
Round m to 1 decimal place, and round k to the nearest integer.
Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places.
Page 1 of 1
O words
D EO Accessibility: Investigate
D, Focus
i O L C
P Type here to search
74%
FZ
F3
PrtSc
Insert
Delete
F5
F6
F7
F8
F9
F10
F11
F12
&
3
4.
6
08.
దెబగుధజంత
Y
P
G
K
*00
Transcribed Image Text:Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the Revenue Model price-demand and total cost data, where: • p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of x sleeping bags; C is the total cost (in dollars) of producing r sleeping bags. Using the regression model computed above, find a model for the weekly revenue, using x as the independent variable. I (sleeping bags) P ($) C ($) NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(x) = p - x. 95 240 13,000 120 235 14,300 180 155 18,500 R(x) = p· x (a + bx + cx²)æ = ax + bx² + cx² = 220 50 21,000 Cost Model Find a linear regression model for the weekly cost data, using x as the independent variab Find a quadratic regression equation for the price-demand data, using x as the independent variable. C(x) = mx +k p= a + bx + cx² Round m to 1 decimal place, and round k to the nearest integer. Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places. Page 1 of 1 O words D EO Accessibility: Investigate D, Focus i O L C P Type here to search 74% FZ F3 PrtSc Insert Delete F5 F6 F7 F8 F9 F10 F11 F12 & 3 4. 6 08. దెబగుధజంత Y P G K *00
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning