glide Must Sell
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glide Must Sell
Algebra word problem i need help please?
The profit function for the Recklus Hang gliding Service is P(x) = -0.4x2 + 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
b)How much is the profit when 30 flight excursions are sold in a month?
c)How many flight excursions must be sold in order to maximize the profit? Show your work algebraically. Trial and error is not an appropriate method of solution – use methods taught in class.
d)What is the maximum profit?
P(X)= -.4X^2+40X-800
-.4(30)^2+40(30)-800=$40.00
For c you need to find the vertex of the parabola (-b/2a)
-40/-.8=50 (excursions)
For d, simply plug 50 for X to get max profit
$200.00
To check this, plug 51 for x (you get $199.60)
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Harley Davidson FXDWG Dyna Wide Glide 14k HPId £1 Start
weest your glide sell honor Fri Nov 20 09:35:21 2009