The hourly operating cost of a plane which seats up to 405 passengers is estimated to be $5,328. If an airline charges each passenger a fare of $120 per hour of flight, find the hourly profit P it earns operating the plane as a function of the number of passengers x. [HINT: The cost function is constant (variable cost = 0).] P(x) = 120x-5328 Specify the domain. (Enter your answer using interval notation.) [0405] X What is the least number of passengers the plane must carry to make a profit? (Round your answer up to the nearest whole number.) 44 X passengers

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The hourly operating cost of a plane which seats up to 405 passengers is estimated to be $5,328. If an airline charges each passenger a fare of $120 per hour of flight, find the hourly profit P it earns
operating the plane as a function of the number of passengers x. [HINT: The cost function is constant (variable cost 0).]
P(x) = 120x - 5328
Specify the domain. (Enter your answer using interval notation.)
[0405]
X
=
What is the least number of passengers the plane must carry to make a profit? (Round your answer up to the nearest whole number.)
44
X passengers
Transcribed Image Text:The hourly operating cost of a plane which seats up to 405 passengers is estimated to be $5,328. If an airline charges each passenger a fare of $120 per hour of flight, find the hourly profit P it earns operating the plane as a function of the number of passengers x. [HINT: The cost function is constant (variable cost 0).] P(x) = 120x - 5328 Specify the domain. (Enter your answer using interval notation.) [0405] X = What is the least number of passengers the plane must carry to make a profit? (Round your answer up to the nearest whole number.) 44 X passengers
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