A company markets exercise DVDs that sell for $29.95, including shipping and handling. The monthly fixed costs (advertising, rent, etc.) are $37,240 and the variable costs (materials, shipping, etc.) are $5.45 per DVD. (A) Find the cost equation and the revenue equation. (B) How many DVDs must be sold each month for the company to break even? (C) Graph the cost and revenue equations in the same coordinate system and show the break-even point. Interpret the regions between the lines to the left and to the right of the break-even point. (A) What is the cost equation? (Type an expression using x as the variable. Do not include the $ symbol in your answer.) What is the revenue equation? R= (Type an expression using x as the variable. Do not include the $ symbol in your answer.) (B) How many DVDs must be sold each month for the company to break even? DVDS (C) Choose the correct graph below. OA. 3100 Q Q G What does the region between the lines to the left of the break-even point represent? OA. The number of DVDS manufactured. OB. The profit when x DVDs are manufactured. OC. The number of DVDs that must be manufactured to break even. OD. The loss when x DVDs are manufactured. What does the region between the lines to the right of the break-even point represent? OA. The number of DVDS manufactured. OB. The number of DVDs that must be manufactured to break even. OC. The profit when x DVDs are manufactured. OD. The loss when x DVDs are manufactured. OB 3100 Q O C. 3100 Q Q G O D. 3100

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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A company markets exercise DVDs that sell for $29.95, including shipping and handling. The monthly fixed costs (advertising, rent, etc.) are $37,240 and the variable costs (materials, shipping, etc.) are $5.45 per DVD.
(A) Find the cost equation and the revenue equation.
(B) How many DVDs must be sold each month for the company to break even?
(C) Graph the cost and revenue equations in the same coordinate system and show the break-even point. Interpret the regions between the lines to the left and to the right of the break-even point.
(A) What is the cost equation?
C=
(Type an expression using x as the variable. Do not include the S symbol in your answer.)
What is the revenue equation?
R=0
(Type an expression using x as the variable. Do not include the $ symbol in your answer.)
(B) How many DVDs must be sold each month for the company to break even?
DVDs
(C) Choose the correct graph below.
O A.
AX
3100
Q
Q
What does the region between the lines to the left of the break-even point represent?
OA. The number of DVDS manufactured.
OB. The profit when x DVDs are manufactured.
OC. The number of DVDs that must be manufactured to break even.
OD. The loss when x DVDs are manufactured.
What does the region between the lines to the right of the break-even point represent?
OA. The number of DVDs manufactured.
OB. The number of DVDs that must be manufactured to break even.
OC. The profit when x DVDs are manufactured.
OD. The loss when x DVDs are manufactured.
O B.
J92.000
04
3100
Q
O C.
3100
Q
Q
O D.
3100
Transcribed Image Text:A company markets exercise DVDs that sell for $29.95, including shipping and handling. The monthly fixed costs (advertising, rent, etc.) are $37,240 and the variable costs (materials, shipping, etc.) are $5.45 per DVD. (A) Find the cost equation and the revenue equation. (B) How many DVDs must be sold each month for the company to break even? (C) Graph the cost and revenue equations in the same coordinate system and show the break-even point. Interpret the regions between the lines to the left and to the right of the break-even point. (A) What is the cost equation? C= (Type an expression using x as the variable. Do not include the S symbol in your answer.) What is the revenue equation? R=0 (Type an expression using x as the variable. Do not include the $ symbol in your answer.) (B) How many DVDs must be sold each month for the company to break even? DVDs (C) Choose the correct graph below. O A. AX 3100 Q Q What does the region between the lines to the left of the break-even point represent? OA. The number of DVDS manufactured. OB. The profit when x DVDs are manufactured. OC. The number of DVDs that must be manufactured to break even. OD. The loss when x DVDs are manufactured. What does the region between the lines to the right of the break-even point represent? OA. The number of DVDs manufactured. OB. The number of DVDs that must be manufactured to break even. OC. The profit when x DVDs are manufactured. OD. The loss when x DVDs are manufactured. O B. J92.000 04 3100 Q O C. 3100 Q Q O D. 3100
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