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.

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.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter12: Sequences, Series And Binomial Theorem

Section12.3: Geometric Sequences And Series

Problem 12.57TI: What is the total effect on the economy of a government tax rebate of $1,000 to each household in...

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Question

Use the Maximum Revenue information above to answer this question.

The revenue function R(X) has one critical number X=_________.

Use the Maximum Revenue information above to answer this question.

Since R(X) is continuous, we can determine the absolute maximum by evaluating R(X) at the endpoints and the critical number.

After doing so, we see the maximum revenue occurs when X=______ price reductions.

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.

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