Atour company has a ticket price that goes down $2 for every additional person who signs up for a group trip. they charge, per person, 52-2n where n is the number of people that go on the trip. their total revenue, r, as a function of the number of people who can go in the trip is r=52n-2n^2. how many people maximize the revenue for the tour company

13 people will Maximize the revenue for the tour company

Step-by-step explanation:

Data provided in the question:

Revenue function = 52n - 2n²

Now,

To find the point of maxima or minima, differentiating the revenue funtion with respect to the 'n' and equating to zero

⇒ = 0

or

⇒ 52 - 4n = 0

or

⇒ 4n = 52

or

⇒ n = 13

To check for mamixa or minima

again differentiating the revenue function

i.e

= -4     [negative value means the n = 13 is point of maxima ]

Hence,

13 people will Maximize the revenue for the tour company

Here's link to the

tinyurl.com/wpazsebu