Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: • pis the wholesale price (in dollars) of a sleeping bag for a weekly demand of z sleeping bags: C is the total cost (in dollars) of producing a sleeping bags. a (sleeping bags) p ($) C (S) 95 240 13,000 120 235 14,300 180 155 18,500 220 50 21,000 Find a quadratic regression equation for the price-demand data, using x as the independent variable. p= a + bx + cx² Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places. Revenue Model Using the regression model computed above, find a model for the weekly revenue, using x as the independent variable. NOTE: Do not calculate another regression. Use the price equation to fınd a model for revenue R(x) =p· x. R(x) = p•x = (a + bx + cæ²)x = ax + bæ² + cx³

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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What is the marginal weekly revenue when the weekly demand is 186?

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 z sleeping bags:
. Cis the total cost (in dollars) of producing r sleeping bags.
(sleeping bags)
p ($)
C ($)
95
240
13,000
120
235
14,300
180
155
18.500
220
50
21,000
Find a quadratic regression equation for the price-demand data, using x as the independent variable.
p= a + bx + cx
cx²
Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places.
Revenue Model
Using the regression model computed above, find a model for the weekly revenue, using x as the
independent variable.
NOTE: Do not calculate another regression. Use the price equation to finda model for revenue
R(x) = p · x.
3
R(z) = p•I
(a + bx + cx²)x = ax + bx² + CI
Use the revenue model to estimate the marginal weekly revenue when the weekly demand is 186.
Round to the nearest cent.
$.
per sleeping bag
vords
EO Accessibility: Investigate
口I A
中0Le
IN
Type here to search
Transcribed Image Text:Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of z sleeping bags: . Cis the total cost (in dollars) of producing r sleeping bags. (sleeping bags) p ($) C ($) 95 240 13,000 120 235 14,300 180 155 18.500 220 50 21,000 Find a quadratic regression equation for the price-demand data, using x as the independent variable. p= a + bx + cx cx² Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places. Revenue Model Using the regression model computed above, find a model for the weekly revenue, using x as the independent variable. NOTE: Do not calculate another regression. Use the price equation to finda model for revenue R(x) = p · x. 3 R(z) = p•I (a + bx + cx²)x = ax + bx² + CI Use the revenue model to estimate the marginal weekly revenue when the weekly demand is 186. Round to the nearest cent. $. per sleeping bag vords EO Accessibility: Investigate 口I A 中0Le IN Type here to search
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