(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 neede (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 $ per projector. (Round to the nearest dollar as needed.)

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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).
C(S)
104,000
125,600
152,000
192,000
p($)
360
603
460
392
620
145
55
780
(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 neede
(B) Find
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 $ 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.
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). C(S) 104,000 125,600 152,000 192,000 p($) 360 603 460 392 620 145 55 780 (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 neede (B) Find 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 $ 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.
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