Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A local club is arranging a charter flight. The cost of the trip is $360 each for 90 passengers, with a refund of $2 per passenger for each seat sold in excess of 90. (Hint: x=number of passengers over 90.)
a.) Write the revenue function R(x).
b.) Find the maximum revenue and the number of passengers which will maximize the revenue. Be sure to show all necessary supporting calculus.

Sagot :

Since3122015
A. [tex]R(x)=(360-2x)(90+x)\\R(x)=32400+360x-180x-2x^2\\R(x)=-2x^2+180x+32400[/tex]

B. [tex]R(x)=-2x^2+180x+32400\\R'(x)=-4x+180=0\\180=4x\\45=x\\\\R(45)=-2(45)^2+180(45)+32400\\R(45)=-2(2025)+8100+32400\\R(45)=-4050+40500\\R(45)=36450\\\\90+45\\135[/tex]

135 passengers will maximize the revenue at $36,450.
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.