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. C ($) 13,000 14,300 18,500 21,000 x (sleeping bags) 95 120 180 220 P ($) 240 235 155 50 Use this data to create regression models to answer all of the questions below. Price Model Find a quadratic regression equation for the price-demand data, using 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.

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Use the price model above to answer this question.
The graph y = a +bx+cx² has y intercept a. In the context of price-demand for
sleeping bags, what is the interpretation of this value?
O When the price is $a per sleeping bag, there is a weekly demand of a sleeping bags.
The break-even point is $a per sleeping bag.
O The equilibrium price is $a per sleeping bag.
O When the sleeping bags are free (price = $0), there is a weekly demand of a sleeping bags.
When the price is $a per sleeping bag, there is no demand for sleeping bags.
O The equilibrium quantity is a sleeping bags per week.
O The break-even point is a sleeping bags per week.
Revenue Model
Use the price model above to construct a revenue model.
Find a model for the weekly revenue, using a as the independent variable.
NOTE: Do not calculate another regression. Use the price equation to find a model for
revenue R(x) = p. x.
00
000
D
******
3
Transcribed Image Text:Use the price model above to answer this question. The graph y = a +bx+cx² has y intercept a. In the context of price-demand for sleeping bags, what is the interpretation of this value? O When the price is $a per sleeping bag, there is a weekly demand of a sleeping bags. The break-even point is $a per sleeping bag. O The equilibrium price is $a per sleeping bag. O When the sleeping bags are free (price = $0), there is a weekly demand of a sleeping bags. When the price is $a per sleeping bag, there is no demand for sleeping bags. O The equilibrium quantity is a sleeping bags per week. O The break-even point is a sleeping bags per week. Revenue Model Use the price model above to construct a revenue model. Find a model for the weekly revenue, using a as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(x) = p. x. 00 000 D ****** 3
Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below
shows the price-demand and total cost data, where:
•p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of a
sleeping bags;
. C is the total cost (in dollars) of producing a sleeping bags.
p ($)
C ($)
240
13,000
235
14,300
155
18,500
21,000
x (sleeping bags)
95
120
180
220
50
Use this data to create regression models to answer all of the questions below.
Price Model
Find a quadratic regression equation for the price-demand data, using a as the
independent variable.
p = a +bx+cx²
Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal
places.
Use this price model to answer question 1-2 below.
Transcribed Image Text:Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: •p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of a sleeping bags; . C is the total cost (in dollars) of producing a sleeping bags. p ($) C ($) 240 13,000 235 14,300 155 18,500 21,000 x (sleeping bags) 95 120 180 220 50 Use this data to create regression models to answer all of the questions below. Price Model Find a quadratic regression equation for the price-demand data, using a 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. Use this price model to answer question 1-2 below.
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