SOLUTION: ???? The Travel Time bus company has determined that when x tourists are given a particular bus tour, the profit P is given by P(x) = �0.25 x2 + 29.50x � 170 (a) What is

Question 585432: ????
The Travel Time bus company has determined that when x tourists are given a particular bus
tour, the profit P is given by
P(x) = �0.25 x2 + 29.50x � 170
(a) What is the company�s profit if 42 tourists are given the tour?
(b) How many tourists should be given the tour in order to maximize the company�s profit?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The Travel Time bus company has determined that when x tourists are given a particular bus
tour, the profit P is given by
P(x) = �0.25 x^2 + 29.50x � 170
(a) What is the company�s profit if 42 tourists are given the tour?
set x = 42 and solve for P(42):
P(42) = �0.25 (42)^2 + 29.50(42) � 170
P(42) = �441 + 1239 � 170
P(42) = 628
.
(b) How many tourists should be given the tour in order to maximize the company�s profit?
Max is at the vertex:
x = -b/(2a)
x = -29.50/(2(�0.25))
x = -29.50/(-0.5)
x = 59 tourists

RELATED QUESTIONS
A charter bus company has determined that the cost of providing x people a tour is C(x) (answered by ankor@dixie-net.com)

Bobby Bagels, Inc. has determined that when x bagels are made daily, the profit P is... (answered by solver91311)

Donut Delights, Inc. has determined that when x donuts are made daily, the profit P is... (answered by ewatrrr)

. Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in (answered by ankor@dixie-net.com)

Please show work Donut Delights, Inc. has determined that when x donuts are made... (answered by Emilym1234,MathTherapy)

Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in... (answered by stanbon,josmiceli)

Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in... (answered by josmiceli)

Please help with these questions 1. Let f (x) = 5x^2� 6 and g(x) = x � 2. (a) Find the (answered by josgarithmetic)

A small tourism company has two old tour buses that frequently break down. The... (answered by ikleyn)