This is a quadratics function question. D:

A company charges 20$ for a subscription to something and gains 30,000 subscribers. It looses 1,000 subscribers for every 1$ they raise the subscription price.
If you could help me, that would be wonderful.

We do not see a question here. Could you complete the question?

A company charges 20$ for a subscription to something and gains 30,000 subscribers. It looses 1,000 subscribers for every 1$ they raise the subscription price.


Find the quadratic quation.
Find the rate at 20$. (So i suppose solve it for 20$)
Find maximum revenue. (I don't even know what its really asking or how to solve it.)

Let s(x)=number of subscribers at the rate of x.

We know that the marginal number of subscribers (derivative) is -1000 when x=20, or
d(s(x))/dx = -1000
Integrate to get
s(x)=-1000x+C
Since s(20)=30000, we get
30000=-1000*20+c
c=50000, or
s(x)=50000-1000x

The revenue R is the product of the number of customers and the price, x.
Therefore
R(x)=x*s(x)=50000x-1000x²

To find the maximum revenue, we set the marginal revenue (derivative of R) to zero:
R'(x)=50000-2000x=0
x=25
is the price that will maximum revenue at R(25)=50000*25-1000*25²=$625,000

Of course, I can help you with that! To solve this problem, we need to create a quadratic function that models the relationship between the subscription price and the number of subscribers.

Let's start by defining the variables:
- Let "x" represent the increase in the subscription price above $20.
- Let "y" represent the number of subscribers after the price increase.

Now, let's establish the given information:
- When the subscription price is $20, the company has 30,000 subscribers.
- For every $1 increase in the price, the company loses 1,000 subscribers.

From this information, we can establish the following equation:

y = -1000x + 30,000

In this equation, the coefficient of "x" represents the decrease in subscribers (-1000) for every $1 increase in price.

To find the maximum profit, we need to determine the value of "x" that maximizes the number of subscribers (y).

Are you following along so far?