The profit for a product is given by P(x) = - 12x2 + 1320x – 36,000, where x is the number of units produced and sold. How many units give break even (that is, give zero profit) for this product? The number of units that give the break even for this product are (Use a comma to separate answers as needed.) The annual total revenue for a product is given by R(x) = 10,000x – 5x² dollars, where x is the number of units sold. To maximize revenue, how many units must be sold? What is the maximum possible annual revenue? To maximize revenue, units must be sold. (Simplify your answer.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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The profit for a product is given by P(x) = - 12x2 + 1320x – 36,000, where x is the number of units produced and sold. How many units give break even (that is, give
zero profit) for this product?
The number of units that give the break even for this product are
(Use a comma to separate answers as needed.)
Transcribed Image Text:The profit for a product is given by P(x) = - 12x2 + 1320x – 36,000, where x is the number of units produced and sold. How many units give break even (that is, give zero profit) for this product? The number of units that give the break even for this product are (Use a comma to separate answers as needed.)
The annual total revenue for a product is given by R(x) = 10,000x – 5x² dollars, where x is the number of units sold. To maximize revenue, how many units must be
sold? What is the maximum possible annual revenue?
To maximize revenue,
units must be sold.
(Simplify your answer.)
Transcribed Image Text:The annual total revenue for a product is given by R(x) = 10,000x – 5x² dollars, where x is the number of units sold. To maximize revenue, how many units must be sold? What is the maximum possible annual revenue? To maximize revenue, units must be sold. (Simplify your answer.)
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  P(x) = -12x2+1320x-36000

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