A company markets exercise DVDs that sell for $19.95, including shipping and handling. The monthly fixed costs (advertising, rent, etc.) are $20,580 and the variable costs (materials, shipping, etc.) are $9.45 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 company markets exercise DVDs that sell for $19.95, including shipping and handling. The monthly fixed costs (advertising, rent, etc.) are $20,580 and the variable costs (materials, shipping, etc.) are $9.45 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.
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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Question
A company markets exercise DVDs that sell for
$19.95,
including shipping and handling. The monthly fixed costs (advertising, rent, etc.) are
$20,580
and the variable costs (materials, shipping, etc.) are
$9.45
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.
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