tour operator organizes a trip such that, if at least 20 people join the tour, the price of the tour per person will be $50. However, perator agrees to decrease the price per person by $1 for every additional person participating the tour. What is the maximum po e revenue in dollars (money collected from the participants) for this tour?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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QUESTION 4
A tour operator organizes a trip such that, if at least 20 people join the tour, the price of the tour per person will be $50. However, the tour
operator agrees to decrease the price per person by $1 for every additional person participating the tour. What is the maximum possible value of
the revenue in dollars (money collected from the participants) for this tour?
Transcribed Image Text:QUESTION 4 A tour operator organizes a trip such that, if at least 20 people join the tour, the price of the tour per person will be $50. However, the tour operator agrees to decrease the price per person by $1 for every additional person participating the tour. What is the maximum possible value of the revenue in dollars (money collected from the participants) for this tour?
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Given below is the optimisation problem and it’s solutions 

For solving this , we must first write total revenue as a function of x

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