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 ($) C ($) 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 + cz² 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 revenue, using a 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(x) = p·x = (a + bx + cx²)x = ax + bx²2 + cz³ Cost Model Find a linear regression model for the weekly cost data, using a as the independent variable. C(x) = mx +k Round m to 1 decimal place, and round k to the nearest integer. Profit Model Use the models computed to find a model for the weekly profit, using a as the independent variabl P(x) =r+ ux + sx? + tæ NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost. Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round to 4 decimal places. igate
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 ($) C ($) 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 + cz² 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 revenue, using a 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(x) = p·x = (a + bx + cx²)x = ax + bx²2 + cz³ Cost Model Find a linear regression model for the weekly cost data, using a as the independent variable. C(x) = mx +k Round m to 1 decimal place, and round k to the nearest integer. Profit Model Use the models computed to find a model for the weekly profit, using a as the independent variabl P(x) =r+ ux + sx? + tæ NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost. Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round to 4 decimal places. igate
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
What is r? What is s? What is t?What is u?
Transcribed Image Text:Yaster Outhtters 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 a sleeping bags:
. Cis the total cost (in dollars) of producing r sleeping bags.
z (sleeping bags)
p ($)
C ($)
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 + cz²
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 revenue, using r as the
independent variable.
NOTE: Do not calculate another regression. Use the price equation to find a model for revenue
R(z) =p.r.
R(x) = p.x = (a + br + ca?)x
= ax + bx?+ cz3
Cost Model
Find a linear regression model for the weekly cost data, using a as the independent variable.
C(x) = mx +k
Ro
m to 1 decimal place, and round k to the nearest integer.
Profit Model
Use the models computed to find a model for the weekly profit, using x as the independent variable
P(x) =r+ux + sa2 + tæ
NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost.
Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round :
to 4 decimal places.
R Accessibility: Investigate
Transcribed Image Text:Cost Model
Find a linear regression model for the weekly cost data, using a as the independent variable.
C(a) = mx +k
Round m to 1 decimal place, and round k to the nearest integer.
Profit Model
Use the models computed to find a model for the weekly profit, using x as the independent variable.
P(x) = r+ ux + sx? + tx3
NOTE: Do not calculate another regression. Use the fact that profit is revenue minus cost.
Round r to the nearest integer, round u to 1 decimal place, round s to 2 decimal places, and round t
to 4 decimal places.
What is r? Round to the nearest integer.
What is u? Round to 1 decimal place.
What is s? Round to 2 decimal places.
What is t? Round to 4 decimal places.
Accessibility: Investigate
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