Maximum Revenue When a management training company prices its seminar on management techniques at $400 per person, 1,000 people will attend the seminar.  The company estimates that for each $5 reduction in price, an additional 20 people will attend the seminar.  Let x represent the number of $5 reductions. Use this information to answer questions 1-4 below. 1) We need to maximize____________ , which is the price per seminar ticket times the number of seminar tickets sold. 2) Since price cannot be negative, we have x ≤____________.   3) A negative value of x would result in a price increase.  Since the problem is stated in terms of price reductions, we must restrict x so that x ≥_______. 4) The revenue function R(x) has one critical number x =__________ .

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Maximum Revenue

When a management training company prices its seminar on management techniques at $400 per person, 1,000 people will attend the seminar.  The company estimates that for each $5 reduction in price, an additional 20 people will attend the seminar. 

Let x represent the number of $5 reductions.

Use this information to answer questions 1-4 below.

1) We need to maximize____________ , which is the price per seminar ticket times the number of seminar tickets sold.

2) Since price cannot be negative, we have x ≤____________.  

3) A negative value of x would result in a price increase. 

Since the problem is stated in terms of price reductions, we must restrict x so that x ≥_______.

4) The revenue function R(x) has one critical number x =__________ .

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