Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: ⚫ p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of a sleeping bags; . C is the total cost (in dollars) of producing a sleeping bags. x(sleeping bags) P ($) C ($) 95 240 13,000 120 235 14,300 180 155 18,500 220 50 21,000 Find a model for the weekly profit, using x as the independent variable. P(x)=rux+ sx² + tx³ 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.
Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: ⚫ p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of a sleeping bags; . C is the total cost (in dollars) of producing a sleeping bags. x(sleeping bags) P ($) C ($) 95 240 13,000 120 235 14,300 180 155 18,500 220 50 21,000 Find a model for the weekly profit, using x as the independent variable. P(x)=rux+ sx² + tx³ 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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.
A.
What is the wholesale price per sleeping bag that should be charged to realize the maximum weekly profit? Round to the nearest cent.
$_______ per sleeping bag
Transcribed Image Text:Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows
the price-demand and total cost data, where:
⚫ p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of a sleeping
bags;
. C is the total cost (in dollars) of producing a sleeping bags.
x(sleeping bags)
P ($)
C ($)
95
240
13,000
120
235
14,300
180
155
18,500
220
50
21,000
Transcribed Image Text:Find a model for the weekly profit, using x as the independent variable.
P(x)=rux+ sx² + tx³
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.
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