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). 380 450 650 750 P(S) 563 378 186 C($) 113,000 121,800 144,000 176,000 98 (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round the coefficients to seven decimal places as needed. Round the constant term to three decimal places as needed.) (B) Find a linear regression equation for the cost data, using x as the independent variable. (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector. The fixed costs are S[ (Round to the nearest dollar as needed.) The variable costs are s per projector. (Round to the nearest dollar as needed.) (C) Find the break even points. The break even points are (Type ordered pairs. Use a comma to separate answers as needed. Round to the nearest integer as needed.)
The table to the right contains price-demand and total cost data for the production of projectors, where p is the wholesale price (in dollars) of a projector for an annual demand of x projectors and C is the total cost (in dollars) of producing x projectors. Answer the following questions (A) – (D). 380 450 650 750 P(S) 563 378 186 C($) 113,000 121,800 144,000 176,000 98 (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. (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. (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 S[ (Round to the nearest dollar as needed.) The variable costs are s per projector. (Round to the nearest dollar as needed.) (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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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).
380
450
650
750
p(S)
563
378
C(S)
113,000
121,800
144,000
176,000
186
98
(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 s
(Round to the nearest dollar as needed.)
The variable costs are S per projector.
(Round to the nearest dollar as needed.)
(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.
sspss
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