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
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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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
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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.
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