The weekly profit model has roots at a = -52.789, a = 47.555, and a = decimal places. The marginal weekly profit model has roots at a = -8.488 and x = 140.29 decimal places. Yaster Outfitters • makes a profit on extreme-cold sleeping bags when the weekly production level as A
The weekly profit model has roots at a = -52.789, a = 47.555, and a = decimal places. The marginal weekly profit model has roots at a = -8.488 and x = 140.29 decimal places. Yaster Outfitters • makes a profit on extreme-cold sleeping bags when the weekly production level as A
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 86CR
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Transcribed Image Text:The weekly profit model has roots at x = -52.789, x 47.555, and a
decimal places.
202.944, rounded to 3
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 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
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Transcribed Image Text:Yaster Outhters manutactures and sells extreme-cold sleeping bags The table below shows the
price-demand and total cost data where
Revenue Model
pis the wholesale price in dollan) of a sleeping bag for a weekly demand of z sleeping bags
Using the regression model computed above, find a model for the weekly revenue, using a as th
independent variable.
.Cis the total cost (in dollan of producing z sleeping bags.
leeping bag
C IS)
NOTE: Do not calculate another regression. Use the price equation to find a model for revenue
R(2) -p.r
240
13.000
120
235
14.300
Find a quadratic regression equation for the price-demand data, using a as the independent variable.
180
155
18.500
P-a+ bz + cz
R(2) - p.r- (a + bz + cz)a a + be + c
220
50
21.000
Round a to the nearest integer, round b to 2 decimal places, and round e to 4 decimal places.
Profit Model
Cost Model
Use the models computed to find a model for the weekly profit, using z as the independent variable.
Find a linear regression model for the weekly cost data, using a as the independent variable.
P(z) =r+ uz + sz + tz
?
C(z) = mx +k
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 a to 2 decimal places, and round t
to 4 decimal places.
Round m to 1 decimal place, and round k to the nearest integer.
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