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If Exactly 150 People Sign Up for a Charter Flight

question 121

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If exactly 150 people sign up for a charter flight, Leisure World Travel Agency charges $250/person. However, if more than 150 people sign up for the flight (assume this is the case) , then each fare is reduced by $1 for each additional person. Determine how many passengers will result in a maximum revenue for the travel agency. What is the maximum revenue? What would be the fare per passenger in this case?
Hint: Let x denote the number of passengers above 150. Show that the revenue function R is given by R(x) = (150 + x) (250 - x) .


Definitions:

Analgesics

Medications designed to relieve pain without causing loss of consciousness, also known as painkillers.

Stomach Acids

Refers to the digestive fluids secreted by the stomach lining, crucial for breaking down food and killing harmful bacteria.

Transdermally

Through the skin; a method of administering medications or substances across the skin's surface to enter the bloodstream.

Sublingually

Administering medication by placing it under the tongue, allowing for rapid absorption into the bloodstream.

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