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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?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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?
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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