A travel agent charges $\$ 15$ for a trip to a concert if 30 people travel in a group. But for each 1 person above the 30 -person level, the charge will be reduced by $\$ 0.15$. How many people will maximize the total revenue for the company?

How many people will maximize the total revenue for the company?
$\square$ people
(Round to the nearest whole number as needed.)

Step 1 ：We need to calculate the revenue for each number of people from 30 to a reasonable upper limit. Since the price per person decreases as the number of people increases, there will be a point where adding more people actually decreases the total revenue. We can start by checking the revenue for each number of people up to 100, which should be more than enough. We can then find the number of people that gives the maximum revenue.

Step 2 ：The revenue function is defined as follows: if \(x \leq 30\), the revenue is \(x \times 15\). Otherwise, the revenue is \(x \times (15 - 0.15 \times (x - 30))\).

Step 3 ：We iterate over the range from 30 to 100, calculating the revenue for each number of people. We keep track of the maximum revenue and the number of people that gives this maximum revenue.

Step 4 ：The maximum revenue is \$633.75, which is achieved when 65 people travel in the group.

Step 5 ：The question asks for the answer to be rounded to the nearest whole number. Since 65 is already a whole number, no rounding is necessary.

Step 6 ：Final Answer: \(\boxed{65}\) people.