Hi

P(x) = -0.4x^2 + fx - m where f is set up fee, m the hanger charge 

& x is # of flights excursions facilitated in that month

a) If $40 is charged for a set up fee, and the monthly hanger rental is $800

P(x) = -0.4x^2 + $40x - $800

b) How much is the profit when 30 flight excursions are sold in a month

P(30) = -0.4(30)^2 + $40(30) - $800  = $40 

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 The profit function for the Recklus Hang gliding Service is 

P(x) = -0.4x^2 + fx - m, where f represents the set up fee for a customer’s daily excursion and m represents the monthly hanger rental. 

Also, P represents the monthly profit in dollars of the small business where x is the number of flight excursions facilitated in that month.

------- 

a) If $40 is charged for a set up fee, and the monthly hanger rental is $800; write an equation for the profit, P, in terms of x. 

Typing hint: Type x-squared as x^2 

Answer: P(x) = -0.4x^2 + 40x - 800

============================================ 

b) How much is the profit when 30 flight excursions are sold in a month? 

Answer: P(30) = -0.4(30^2) + 40*30 - 800

P(30) = -360 + 1200 - 800

---

P(30) = $40

--------------------------------

Cheers,

Stan H. 

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