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 revenue, using x as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(x) = p. x. R(x)=p x = (a + bx + cx²)x = ax + bx² + cx³

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 67E
Question

Estimate the marginal weekly revenue when the weekly demand is 114.  Round to the nearest cent.

A. $   ________per sleeping bag

Estimate the average weekly revenue per bag when the weekly demand is 163.  Round to the nearest cent.

B. $   _______per sleeping bag

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: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 revenue, using x as the independent variable.
NOTE: Do not calculate another regression. Use the price equation to find a model for
revenue R(x) = p. x.
R(x)=p x = (a + bx + cx²)x
= ax + bx² + cx³
Transcribed Image Text:Find a model for the weekly revenue, using x as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(x) = p. x. R(x)=p x = (a + bx + cx²)x = ax + bx² + cx³
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