Question: MATH CALCULUS Marginal Analysis in Business The table to the right contains price-demand and total cost data for the production of projectors, where p is

MATH CALCULUS Marginal Analysis in Business

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).

x

p($)

C($)

340

608

112,000

460

428

123,400

630

154

169,000

810

63

196,000

(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.)

(B2) Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector.

The fixed costs are $

(B3) The variable costs are $ per projector.

(C) Find the break even points

The break even points are:

(D) Find the price range for which the company will make a profit: $ p$

PLEASE ANSWER A, B, B2, B3 C, D WILL THUMBS UP IF IT IS CORRECT.

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