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Question 241617: 2. The cost function for the Recklus Hang gliding Service is C(x) = 0.4x2 - fx + m, where f represents the average fuel cost for a customer’s daily excursion and m represents the monthly hanger rental. Also, C represents the monthly cost in dollars of the small business where x is the number of flight excursions facilitated in that month.
a). If $60 is estimated to be the average fuels cost (f), and the monthly hanger rental is $3,000; write an equation for the profit, P, in terms of x.
Typing hint: Type x-squared as x^2
b).What is the cost when 40 flight excursions are sold in a month?
c). How many flight excursions must be sold in order to minimize the cost? Show your work algebraically. Trial and error is not an appropriate method of solution – use methods taught in class.
d). What is the minimum cost?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The cost function for the Recklus Hang gliding Service is
C(x) = 0.4x2 - fx + m, where f represents the average fuel cost for a customer’s daily excursion and m represents the monthly hanger rental.
Also, C represents the monthly cost in dollars of the small business where x is the number of flight excursions facilitated in that month.
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a). If $60 is estimated to be the average fuels cost (f), and the monthly hanger rental is $3,000; write an equation for the profit, P, in terms of x.
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Comment:
You defined "C" twice but never defined "P".
Cheers,
Stan H.
Typing hint: Type x-squared as x^2
b).What is the cost when 40 flight excursions are sold in a month?
c). How many flight excursions must be sold in order to minimize the cost? Show your work algebraically. Trial and error is not an appropriate method of solution – use methods taught in class.
d). What is the minimum cost?
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