The manager of a local restaurant is trying to decide how much money to spend on advertising. She knows that an increase in advertising spending will increase her profit, up to a point. The situation is modelled by the relation R = -0.0005(4-5000)² + 12 500, where R is the extra revenue and A is the amount spent on advertising, both in dollars. a. State the coordinates of the vertex of this parabola. b. What do the coordinates of the vertex represent in this situation? c. According to this relation, if $0 is spent on advertising, what will the revenue be? d. According to this relation, if $200 is spent on advertising, what will the revenue be?
The manager of a local restaurant is trying to decide how much money to spend on advertising. She knows that an increase in advertising spending will increase her profit, up to a point. The situation is modelled by the relation R = -0.0005(4-5000)² + 12 500, where R is the extra revenue and A is the amount spent on advertising, both in dollars. a. State the coordinates of the vertex of this parabola. b. What do the coordinates of the vertex represent in this situation? c. According to this relation, if $0 is spent on advertising, what will the revenue be? d. According to this relation, if $200 is spent on advertising, what will the revenue be?
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.1: Rectangular Coordinate System And Linear Equations
Problem 47PS
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Transcribed Image Text:The manager of a local restaurant is trying to decide how much money to spend on advertising. She
knows that an increase in advertising spending will increase her profit, up to a point. The situation is
modelled by the relation R = -0.0005(A-5000)² + 12 500, where R is the extra revenue and A
is the amount spent on advertising, both in dollars.
a. State the coordinates of the vertex of this parabola.
b. What do the coordinates of the vertex represent in this situation?
c. According to this relation, if $0 is spent on advertising, what will the revenue be?
d. According to this relation, if $200 is spent on advertising, what will the revenue be?
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