The weekly profit model has roots at x = -52.789, x = 47.555, and x = 202.944, rounded to 3 decimal places. The marginal weekly profit model has roots at x = -8.488 and x = 140.295, rounded to 3 decimal places. Yaster Outfitters • makes a profit on extreme-cold sleeping bags when the weekly production level x satisfies A < x < B; • loses money when 0 < x < A or x > B. In other words, Yaster starts making a profit when production exceeds A sleeping bags per week, and starts losing money when production exceeds B sleeping bags per week. Round A and B to 3 decimal places. What is A? Round to 3 decimal places. sleeping bags What is B? Round to 3 decimal places. sleeping bags
The weekly profit model has roots at x = -52.789, x = 47.555, and x = 202.944, rounded to 3 decimal places. The marginal weekly profit model has roots at x = -8.488 and x = 140.295, rounded to 3 decimal places. Yaster Outfitters • makes a profit on extreme-cold sleeping bags when the weekly production level x satisfies A < x < B; • loses money when 0 < x < A or x > B. In other words, Yaster starts making a profit when production exceeds A sleeping bags per week, and starts losing money when production exceeds B sleeping bags per week. Round A and B to 3 decimal places. What is A? Round to 3 decimal places. sleeping bags What is B? Round to 3 decimal places. sleeping bags
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The weekly profit model has roots at r =
-52.789, x = 47.555, and x =
202.944, rounded to 3
decimal places.
The marginal weekly profit model has roots at x = -8.488 and x 140.295, rounded to 3
decimal places.
Yaster Outfitters
• makes a profit on extreme-cold sleeping bags when the weekly production level a satisfies
A < x < B;
• loses money when 0 < x < A or a > B.
In other words, Yaster starts making a profit when production exceeds A sleeping bags per week,
and starts losing money when production exceeds B sleeping bags per week.
Round A and B to 3 decimal places.
What is A? Round to 3 decimal places.
sleeping bags
What is B? Round to 3 decimal places.
sleeping bags
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Transcribed Image Text:The weekly profit model has roots at r =
-52.789, x = 47.555, and x =
202.944, rounded to 3
decimal places.
The marginal weekly profit model has roots at x = -8.488 and x 140.295, rounded to 3
decimal places.
Yaster Outfitters
• makes a profit on extreme-cold sleeping bags when the weekly production level a satisfies
A < x < B;
• loses money when 0 < x < A or a > B.
In other words, Yaster starts making a profit when production exceeds A sleeping bags per week,
and starts losing money when production exceeds B sleeping bags per week.
Round A and B to 3 decimal places.
What is A? Round to 3 decimal places.
sleeping bags
What is B? Round to 3 decimal places.
sleeping bags
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![Yaster Outhtters manufactures and sells extreme-cold sleeping bags. The table below shown the
price-demand and total cot 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 dollar of producing z sleeping bags
Using the regression model computed above find a model for the weekly revenue, using a as the
independent variable.
le (sleeping bapl
p (S)
95
240
13,000
NOTE: Do not calculate another regression. Use the price equationi to find a model for revenue
R(2) -p.z.
120
235
14.300
180
155
18.500
220
R(a) -pe (a+ bar + cz)z az + ba2 + cz
50
21.000
Cost Model
Find a linear regression model for the weekly cost data, using z as the independent variable.
Find a quadratic regression equation for the price-demand data, using a as the independent variable.
C(x) = mx + k
p= a+ br + cr
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 e to 4 decimal places.
Profit Model
Use the models computed to find a model for the weekly profit, using z as the independent variable. The weekly profit model has roots at æ = –52.789, x = 47.555, and æ = 202.944, rounded to E
P(z) =r+ uI + sz² + tx³
decimal places.
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.
The marginal weekly profit model has roots at æ = -8.488 and x = 140.295, rounded to 3
decimal places.
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Transcribed Image Text:Yaster Outhtters manufactures and sells extreme-cold sleeping bags. The table below shown the
price-demand and total cot 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 dollar of producing z sleeping bags
Using the regression model computed above find a model for the weekly revenue, using a as the
independent variable.
le (sleeping bapl
p (S)
95
240
13,000
NOTE: Do not calculate another regression. Use the price equationi to find a model for revenue
R(2) -p.z.
120
235
14.300
180
155
18.500
220
R(a) -pe (a+ bar + cz)z az + ba2 + cz
50
21.000
Cost Model
Find a linear regression model for the weekly cost data, using z as the independent variable.
Find a quadratic regression equation for the price-demand data, using a as the independent variable.
C(x) = mx + k
p= a+ br + cr
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 e to 4 decimal places.
Profit Model
Use the models computed to find a model for the weekly profit, using z as the independent variable. The weekly profit model has roots at æ = –52.789, x = 47.555, and æ = 202.944, rounded to E
P(z) =r+ uI + sz² + tx³
decimal places.
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.
The marginal weekly profit model has roots at æ = -8.488 and x = 140.295, rounded to 3
decimal places.
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