The table to the right contains price-demand and total cost data for the production of projectors, where p is the wholesale price (in dollars) of a projector for an annual demand of x projectors and C is the total cost (in dollars) of producing x projectors. Answer the following questions (A) - (D). p($) C(S) 114,000 126,700 280 558 420 394 640 194 162,000 710 73 184,000 (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. y=D (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round the coefficients to seven decimal places as needed. Round the constant term to three decimal places as needed.) (B) Find a linear regression equation for the cost data, using x as the independent variable. y = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector. The fixed costs are $ (Round to the nearest dollar as needed.) The variable costs are $ (Round to the nearest dollar as needed.) per projector.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The table to the right contains price-demand and total cost data for the production of projectors,
where p is the wholesale price (in dollars) of a projector for an annual demand of x projectors
and C is the total cost (in dollars) of producing x projectors. Answer the following questions
(A) - (D).
p($)
558
C($)
114,000
126,700
280
420
394
640
194
162,000
710
73
184,000
(A) Find a quadratic regression equation for the price-demand data, using x as the independent variable.
y=]
(Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round the coefficients to seven decimal places as
needed. Round the constant term to three decimal places as needed.)
(B) Find a linear regression equation for the cost data, using x as the independent variable.
y =
(Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector.
The fixed costs are $
(Round to the nearest dollar as needed.)
The variable costs are $
(Round to the nearest dollar as needed.)
per projector.
(C) Find the break even points.
The break even points are
(Type ordered pairs. Use a comma to separate answers as needed. Round to the nearest integer as needed.)
(D) Find the price range for which the company will make a profit.
spss
Next
javascript:doExercise(10);
cearch
Transcribed Image Text:The table to the right contains price-demand and total cost data for the production of projectors, where p is the wholesale price (in dollars) of a projector for an annual demand of x projectors and C is the total cost (in dollars) of producing x projectors. Answer the following questions (A) - (D). p($) 558 C($) 114,000 126,700 280 420 394 640 194 162,000 710 73 184,000 (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. y=] (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round the coefficients to seven decimal places as needed. Round the constant term to three decimal places as needed.) (B) Find a linear regression equation for the cost data, using x as the independent variable. y = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector. The fixed costs are $ (Round to the nearest dollar as needed.) The variable costs are $ (Round to the nearest dollar as needed.) per projector. (C) Find the break even points. The break even points are (Type ordered pairs. Use a comma to separate answers as needed. Round to the nearest integer as needed.) (D) Find the price range for which the company will make a profit. spss Next javascript:doExercise(10); cearch
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