The table below contains price-demand and total cost data for the production of treadmills, where p is the wholesale price (in dollars) of a treadmill for an annual demand of x treadmills, and C is the total cost (in dollars) of producing x treadmills. p ($) C ($) 2,910 1,450 3,634,000 3,415 1,275 3,782,000 4,645 1,123 4,185,000 5,330 918 4,290,000 Use this data to find a linear regression equation for price-demand data, using a as the independent variable: = ax + b,

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter24: Percent Practical Applications
Section: Chapter Questions
Problem 41A
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Break-Even Analysis
The table below contains price-demand and total cost data for the production of treadmills, where p
is the wholesale price (in dollars) of a treadmill for an annual demand of a treadmills, and C is the
total cost (in dollars) of producing a treadmills.
p ($)
C ($)
2,910
1,450
3,634,000
3,415
1,275
3,782,000
4,645
1,123
4,185,000
5,330
918
4,290,000
Use this data to find a linear regression equation for price-demand data, using a as the independent
variable:
p= ax + b,
where a is rounded to 1 decimal place and b is rounded to the nearest integer.
Use this data to find a linear regression model for the cost data, using x as the independent variable:
C(x) = cx + d,
where c is rounded to the nearest integer and d is rounded to the nearest 10,000.
Use these models to answer the questions below.
52%
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Transcribed Image Text:Break-Even Analysis The table below contains price-demand and total cost data for the production of treadmills, where p is the wholesale price (in dollars) of a treadmill for an annual demand of a treadmills, and C is the total cost (in dollars) of producing a treadmills. p ($) C ($) 2,910 1,450 3,634,000 3,415 1,275 3,782,000 4,645 1,123 4,185,000 5,330 918 4,290,000 Use this data to find a linear regression equation for price-demand data, using a as the independent variable: p= ax + b, where a is rounded to 1 decimal place and b is rounded to the nearest integer. Use this data to find a linear regression model for the cost data, using x as the independent variable: C(x) = cx + d, where c is rounded to the nearest integer and d is rounded to the nearest 10,000. Use these models to answer the questions below. 52% Type here to search
There are two break-even points. Find the larger production level where the company breaks even.
Round to the nearest treadmill.
treadmills
Transcribed Image Text:There are two break-even points. Find the larger production level where the company breaks even. Round to the nearest treadmill. treadmills
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