Asked by Anonymous
The total revenue for Fred's Estates LLC is given as the function R(x)=200x−0.25x2
R
(
x
)
=
200
x
−
0.25
x
2
, where x is the number of villas booked. What number of villas booked produces the maximum revenue?
R
(
x
)
=
200
x
−
0.25
x
2
, where x is the number of villas booked. What number of villas booked produces the maximum revenue?
Answers
mathhelper
R(x)= 200x - 0.25x^2
quick way to find vertex:
the x of the vertex is -b/(2a) = -200/(-.5) = 400
R(400) = 200(400) - .25(400)^2 = 40,000
quick way to find vertex:
the x of the vertex is -b/(2a) = -200/(-.5) = 400
R(400) = 200(400) - .25(400)^2 = 40,000