Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Use the linear regression models above to answer this question.

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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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 treadmills.
x
2,910
3,415
4,645
5,330
p ($)
1,450
1,275
1.123
918
C ($)
3,634,000
3,782,000
4,185,000
4,290,000
Use this data to find a linear regression equation for price-demand data, using 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 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.
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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 treadmills. x 2,910 3,415 4,645 5,330 p ($) 1,450 1,275 1.123 918 C ($) 3,634,000 3,782,000 4,185,000 4,290,000 Use this data to find a linear regression equation for price-demand data, using 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 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.
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