SOLUTION: A charter company will provide a plane for a fare of $200 each for 80 or fewer passengers. For each passenger in excess of 80, the fare is decreased by $2.00 per person for everyon
Algebra.Com
Question 233123: A charter company will provide a plane for a fare of $200 each for 80 or fewer passengers. For each passenger in excess of 80, the fare is decreased by $2.00 per person for everyone. What number of passengers would produce the greatest revenue for the company.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A charter company will provide a plane for a fare of $200 each for 80 or fewer passengers.
For each passenger in excess of 80, the fare is decreased by $2.00 per person for everyone.
What number of passengers would produce the greatest revenue for the company.
------------------
Equation:
Revenue(x) = (80+x)(200-2x)
R(x) = -2x^2 + 40x + 16000
---
Maximum Revenue occurs when x = -b/2a = -40/(-4) = 10
---------------------
80+10 = 90 would be the number of passengers needed to maximize Revenue.
============================================================================
Cheers,
Stan H.
RELATED QUESTIONS
a charter company will provide a plane for a fare of $200 each for 80 or fewer... (answered by drk)
a charter company will provide for a fare of $60 each for 20 or fewer passengers. for... (answered by ankor@dixie-net.com)
A group of senior citizens charter a bus for a one-day excursion trip for Php150 per... (answered by josgarithmetic)
A bus company has 3,000 passengers daily, paying a $1.25 fare. For each 25¢ increase in... (answered by Edwin McCravy)
A company has 3000 passengers daily paying a 25 cent fare. For each nickel increase in... (answered by edjones)
A group of 20 senior citizens can charter a bus for a one-day excursion trip for $15 per... (answered by greenestamps)
Can someone please help me with this "setting fares" word problem?
a bus company has... (answered by ankor@dixie-net.com)
A transit company has 500 passengers daily, each currently paying a $2.25 fare. For each... (answered by ankor@dixie-net.com)
A bus company has 4000 passengers daily, each paying a fare of $2. For each $0.15... (answered by ankor@dixie-net.com)