There are two break-even points. Give either one. Round to 3 decimal places. sleeping bags What is the maximum weekly profit? Round to the nearest dollar. $. What is the wholesale price per sleeping bag that should be charged to realize the maximum weekly What weekly production level will maximize profit? Round to 1 decimal place. profit? Round to the nearest cent. sleeping bags %24 per sleeping bag

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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There are two break-even points. Give either one. Round to 3 decimal places.
sleeping bags
What is the maximum weekly profit? Round to the nearest dollar.
$.
What is the wholesale price per sleeping bag that should be charged to realize the maximum weekly
What weekly production level will maximize profit? Round to 1 decimal place.
profit? Round to the nearest cent.
sleeping bags
$.
per sleeping bag
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of 1
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Transcribed Image Text:There are two break-even points. Give either one. Round to 3 decimal places. sleeping bags What is the maximum weekly profit? Round to the nearest dollar. $. What is the wholesale price per sleeping bag that should be charged to realize the maximum weekly What weekly production level will maximize profit? Round to 1 decimal place. profit? Round to the nearest cent. sleeping bags $. per sleeping bag D, Focus of 1 O words * Accessibility: Investigate %23 23% e Type here to search
Outfiters manufactures and sells extreme-cold sleeping bas. The table below shows the
demand and total cost data where
Revenue Model
is the wholesale price lin dollarsi of a sleeping bag for a weekly demand of z sleeping bags
is the total cost (in dollars of producing z sleeping bags.
Using the regression model computed above. find a model for the weekly revenue, using z as the
eeping bags)
P (S)
independent variable.
240
13.000
NOTE: Do not calculate another regression. Use the price equation to find a model for revenue
R(z) = p-zr
235
14.300
155
18,500
50
21.000
R(z) – p- 1 = (a+ bæ + ez²)x = ax + bz² 4 cr*
Cost Model
Find a linear regression model for the weekly cost data, using as the independent variable.
Find a quadratic regression equation for the price-demand data, using a as the independent variable.
C(z) = mx + k
p-a+ b + cz?
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 c 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 x = –52.789, x = 47.555, and x = 202.944, rounded to
P(z) =r+uz + sz? + tzr3
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 roundt
The marginal weekly profit model has roots at x = –8.488 and x = 140.295, rounded to 3
to 4 decimal places.
decimal places.
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Transcribed Image Text:Outfiters manufactures and sells extreme-cold sleeping bas. The table below shows the demand and total cost data where Revenue Model is the wholesale price lin dollarsi of a sleeping bag for a weekly demand of z sleeping bags is the total cost (in dollars of producing z sleeping bags. Using the regression model computed above. find a model for the weekly revenue, using z as the eeping bags) P (S) independent variable. 240 13.000 NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(z) = p-zr 235 14.300 155 18,500 50 21.000 R(z) – p- 1 = (a+ bæ + ez²)x = ax + bz² 4 cr* Cost Model Find a linear regression model for the weekly cost data, using as the independent variable. Find a quadratic regression equation for the price-demand data, using a as the independent variable. C(z) = mx + k p-a+ b + cz? 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 c 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 x = –52.789, x = 47.555, and x = 202.944, rounded to P(z) =r+uz + sz? + tzr3 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 roundt The marginal weekly profit model has roots at x = –8.488 and x = 140.295, rounded to 3 to 4 decimal places. decimal places. D, Focus O words O O Accessibility: Investigate 9:04 PM W 23% P Type here to search N 11/16/2021 Insert Delete PriSc F11 F12 F9 F10 F8 F5 F6 F7 F1 F2 F3 Num Backspace
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