ndependent variable. P(x) = Ox? +Ox+O (Round the constant to four decimal places as needed. Round all other values to six decimal places as needed) %3D (B) Find a linear regression equation for the cost data, using x as the independent variable. CX) = (Ox+ O (Round to three decimal places as needed.) (C) What is the form of the equation for profit? Write the profit function in terms of the variables from the table, x, p, and C. profit = What is the maximum profit? The mavimum profit is S

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 67E
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I need assistance with parts A-C Please!

The table contains price-demand and total cost data for the production of extreme-cold sleeping bags, where p is the wholesale price (in dollars) of a sleeping bag for an annual demand
of x sleeping bags and C is the total cost (in dollars) of producing x sleeping bags. Complete parts (A) through (C) below.
950
230
135,000
155,000
180,000
200,000
210
1,150
1,900
2,000
160
125
Transcribed Image Text:The table contains price-demand and total cost data for the production of extreme-cold sleeping bags, where p is the wholesale price (in dollars) of a sleeping bag for an annual demand of x sleeping bags and C is the total cost (in dollars) of producing x sleeping bags. Complete parts (A) through (C) below. 950 230 135,000 155,000 180,000 200,000 210 1,150 1,900 2,000 160 125
(A) Find a quadratic regression equation for the price-demand data, using x as the independent variable.
P(x) = (x² + (x+ (O
(Round the constant to four decimal places as needed. Round all other values to six decimal places as needed)
(B) Find a linear regression equation for the cost data, using x as the independent variable.
C(x) = (Dx+ (D
(Round to three decimal places as needed.)
%3D
(C) What is the form of the equation for profit? Write the profit function in terms of the variables from the table, x, p, and C.
profit =
What is the maximum profit?
The maximum profit is $_.
IDnund tn the noornet dollor e nonded
What is the maximum profit?
The maximum profit is $.
(Round to the nearest dollar as needed.)
What is the wholesale price per extreme-cold sleeping bag that should be charged to realize the maximum profit?
The wholesale price per extreme-cold sleeping bag that should be charged to realize the maximum profit is $
(Round to the nearest dollar as needed.)
Enter your answer in each of the answer boxes.
Transcribed Image Text:(A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. P(x) = (x² + (x+ (O (Round the constant to four decimal places as needed. Round all other values to six decimal places as needed) (B) Find a linear regression equation for the cost data, using x as the independent variable. C(x) = (Dx+ (D (Round to three decimal places as needed.) %3D (C) What is the form of the equation for profit? Write the profit function in terms of the variables from the table, x, p, and C. profit = What is the maximum profit? The maximum profit is $_. IDnund tn the noornet dollor e nonded What is the maximum profit? The maximum profit is $. (Round to the nearest dollar as needed.) What is the wholesale price per extreme-cold sleeping bag that should be charged to realize the maximum profit? The wholesale price per extreme-cold sleeping bag that should be charged to realize the maximum profit is $ (Round to the nearest dollar as needed.) Enter your answer in each of the answer boxes.
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